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Finding the Fourth Proportional to 512.20, 707.55 and 456.91

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Solution

The fourth proportional to 512.20, 707.55 and 456.91 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 707.55 = 456.91 : x
  2. Step 2: Convert to fraction form
    512.20/707.55 = 456.91/x
  3. Step 3: Cross multiply
    512.20x = 707.55 × 456.91
  4. Step 4: Simplify right side
    512.20x = 323,286.67
  5. Step 5: Solve for x
    x = 323,286.67/512.20
  6. Step 6: Final answer
    x = 631.17

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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.