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Finding the Fourth Proportional to 484.96, 728.14 and 472.68

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Solution

The fourth proportional to 484.96, 728.14 and 472.68 is: 709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 728.14 = 472.68 : x
  2. Step 2: Convert to fraction form
    484.96/728.14 = 472.68/x
  3. Step 3: Cross multiply
    484.96x = 728.14 × 472.68
  4. Step 4: Simplify right side
    484.96x = 344,177.22
  5. Step 5: Solve for x
    x = 344,177.22/484.96
  6. Step 6: Final answer
    x = 709.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.