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Finding the Fourth Proportional to 554.76, 766.14 and 407.16

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Solution

The fourth proportional to 554.76, 766.14 and 407.16 is: 562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.76 : 766.14 = 407.16 : x
  2. Step 2: Convert to fraction form
    554.76/766.14 = 407.16/x
  3. Step 3: Cross multiply
    554.76x = 766.14 × 407.16
  4. Step 4: Simplify right side
    554.76x = 311,941.56
  5. Step 5: Solve for x
    x = 311,941.56/554.76
  6. Step 6: Final answer
    x = 562.30

Related Problems

Find fourth proportional to 277.38, 383.07 and 203.58
Half scale
Find fourth proportional to 1,109.52, 1,532.28 and 814.32
Double scale
Find fourth proportional to 555.76, 767.52 and 408.16
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.