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Finding the Fourth Proportional to 512.73, 707.13 and 463.52

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Solution

The fourth proportional to 512.73, 707.13 and 463.52 is: 639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 707.13 = 463.52 : x
  2. Step 2: Convert to fraction form
    512.73/707.13 = 463.52/x
  3. Step 3: Cross multiply
    512.73x = 707.13 × 463.52
  4. Step 4: Simplify right side
    512.73x = 327,770.67
  5. Step 5: Solve for x
    x = 327,770.67/512.73
  6. Step 6: Final answer
    x = 639.27

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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.