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Finding the Fourth Proportional to 457.50, 686.32 and 406.42

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Solution

The fourth proportional to 457.50, 686.32 and 406.42 is: 609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.50 : 686.32 = 406.42 : x
  2. Step 2: Convert to fraction form
    457.50/686.32 = 406.42/x
  3. Step 3: Cross multiply
    457.50x = 686.32 × 406.42
  4. Step 4: Simplify right side
    457.50x = 278,933.73
  5. Step 5: Solve for x
    x = 278,933.73/457.50
  6. Step 6: Final answer
    x = 609.69

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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.