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Finding the Fourth Proportional to 500.16, 747.18 and 497.72

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Solution

The fourth proportional to 500.16, 747.18 and 497.72 is: 743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.16 : 747.18 = 497.72 : x
  2. Step 2: Convert to fraction form
    500.16/747.18 = 497.72/x
  3. Step 3: Cross multiply
    500.16x = 747.18 × 497.72
  4. Step 4: Simplify right side
    500.16x = 371,886.43
  5. Step 5: Solve for x
    x = 371,886.43/500.16
  6. Step 6: Final answer
    x = 743.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.