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Finding the Fourth Proportional to 500.92, 691.09 and 396.02

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Solution

The fourth proportional to 500.92, 691.09 and 396.02 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.92 : 691.09 = 396.02 : x
  2. Step 2: Convert to fraction form
    500.92/691.09 = 396.02/x
  3. Step 3: Cross multiply
    500.92x = 691.09 × 396.02
  4. Step 4: Simplify right side
    500.92x = 273,686.20
  5. Step 5: Solve for x
    x = 273,686.20/500.92
  6. Step 6: Final answer
    x = 546.37

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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.