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Finding the Fourth Proportional to 457.63, 686.41 and 406.85

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Solution

The fourth proportional to 457.63, 686.41 and 406.85 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.63 : 686.41 = 406.85 : x
  2. Step 2: Convert to fraction form
    457.63/686.41 = 406.85/x
  3. Step 3: Cross multiply
    457.63x = 686.41 × 406.85
  4. Step 4: Simplify right side
    457.63x = 279,265.91
  5. Step 5: Solve for x
    x = 279,265.91/457.63
  6. Step 6: Final answer
    x = 610.24

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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.