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Finding the Fourth Proportional to 457.84, 631.02 and 406.95

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Solution

The fourth proportional to 457.84, 631.02 and 406.95 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.84 : 631.02 = 406.95 : x
  2. Step 2: Convert to fraction form
    457.84/631.02 = 406.95/x
  3. Step 3: Cross multiply
    457.84x = 631.02 × 406.95
  4. Step 4: Simplify right side
    457.84x = 256,793.59
  5. Step 5: Solve for x
    x = 256,793.59/457.84
  6. Step 6: Final answer
    x = 560.88

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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.