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Finding the Fourth Proportional to 721.67, 996.05 and 472.55

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Solution

The fourth proportional to 721.67, 996.05 and 472.55 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.67 : 996.05 = 472.55 : x
  2. Step 2: Convert to fraction form
    721.67/996.05 = 472.55/x
  3. Step 3: Cross multiply
    721.67x = 996.05 × 472.55
  4. Step 4: Simplify right side
    721.67x = 470,681.06
  5. Step 5: Solve for x
    x = 470,681.06/721.67
  6. Step 6: Final answer
    x = 652.21

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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.