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Finding the Fourth Proportional to 512.18, 706.29 and 477.62

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Solution

The fourth proportional to 512.18, 706.29 and 477.62 is: 658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.18 : 706.29 = 477.62 : x
  2. Step 2: Convert to fraction form
    512.18/706.29 = 477.62/x
  3. Step 3: Cross multiply
    512.18x = 706.29 × 477.62
  4. Step 4: Simplify right side
    512.18x = 337,338.23
  5. Step 5: Solve for x
    x = 337,338.23/512.18
  6. Step 6: Final answer
    x = 658.63

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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.