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Finding the Fourth Proportional to 500.54, 691.08 and 447.92

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Solution

The fourth proportional to 500.54, 691.08 and 447.92 is: 618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.54 : 691.08 = 447.92 : x
  2. Step 2: Convert to fraction form
    500.54/691.08 = 447.92/x
  3. Step 3: Cross multiply
    500.54x = 691.08 × 447.92
  4. Step 4: Simplify right side
    500.54x = 309,548.55
  5. Step 5: Solve for x
    x = 309,548.55/500.54
  6. Step 6: Final answer
    x = 618.43

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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.