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Finding the Fourth Proportional to 600.38, 898.52 and 497.88

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Solution

The fourth proportional to 600.38, 898.52 and 497.88 is: 745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.38 : 898.52 = 497.88 : x
  2. Step 2: Convert to fraction form
    600.38/898.52 = 497.88/x
  3. Step 3: Cross multiply
    600.38x = 898.52 × 497.88
  4. Step 4: Simplify right side
    600.38x = 447,355.14
  5. Step 5: Solve for x
    x = 447,355.14/600.38
  6. Step 6: Final answer
    x = 745.12

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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.