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Finding the Fourth Proportional to 512.70, 708.24 and 457.41

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Solution

The fourth proportional to 512.70, 708.24 and 457.41 is: 631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 708.24 = 457.41 : x
  2. Step 2: Convert to fraction form
    512.70/708.24 = 457.41/x
  3. Step 3: Cross multiply
    512.70x = 708.24 × 457.41
  4. Step 4: Simplify right side
    512.70x = 323,956.06
  5. Step 5: Solve for x
    x = 323,956.06/512.70
  6. Step 6: Final answer
    x = 631.86

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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.