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Finding the Fourth Proportional to 482.76, 664.20 and 417.15

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Solution

The fourth proportional to 482.76, 664.20 and 417.15 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 664.20 = 417.15 : x
  2. Step 2: Convert to fraction form
    482.76/664.20 = 417.15/x
  3. Step 3: Cross multiply
    482.76x = 664.20 × 417.15
  4. Step 4: Simplify right side
    482.76x = 277,071.03
  5. Step 5: Solve for x
    x = 277,071.03/482.76
  6. Step 6: Final answer
    x = 573.93

Related Problems

Find fourth proportional to 241.38, 332.10 and 208.58
Half scale
Find fourth proportional to 965.52, 1,328.40 and 834.30
Double scale
Find fourth proportional to 483.76, 665.58 and 418.15
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.