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Finding the Fourth Proportional to 552.76, 762.82 and 304.11

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Solution

The fourth proportional to 552.76, 762.82 and 304.11 is: 419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 762.82 = 304.11 : x
  2. Step 2: Convert to fraction form
    552.76/762.82 = 304.11/x
  3. Step 3: Cross multiply
    552.76x = 762.82 × 304.11
  4. Step 4: Simplify right side
    552.76x = 231,981.19
  5. Step 5: Solve for x
    x = 231,981.19/552.76
  6. Step 6: Final answer
    x = 419.68

Related Problems

Find fourth proportional to 276.38, 381.41 and 152.06
Half scale
Find fourth proportional to 1,105.52, 1,525.64 and 608.22
Double scale
Find fourth proportional to 553.76, 764.20 and 305.11
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.