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Finding the Fourth Proportional to 552.72, 763.38 and 476.04

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Solution

The fourth proportional to 552.72, 763.38 and 476.04 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 763.38 = 476.04 : x
  2. Step 2: Convert to fraction form
    552.72/763.38 = 476.04/x
  3. Step 3: Cross multiply
    552.72x = 763.38 × 476.04
  4. Step 4: Simplify right side
    552.72x = 363,399.42
  5. Step 5: Solve for x
    x = 363,399.42/552.72
  6. Step 6: Final answer
    x = 657.47

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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.