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Finding the Fourth Proportional to 512.27, 706.29 and 442.20

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Solution

The fourth proportional to 512.27, 706.29 and 442.20 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.27 : 706.29 = 442.20 : x
  2. Step 2: Convert to fraction form
    512.27/706.29 = 442.20/x
  3. Step 3: Cross multiply
    512.27x = 706.29 × 442.20
  4. Step 4: Simplify right side
    512.27x = 312,321.44
  5. Step 5: Solve for x
    x = 312,321.44/512.27
  6. Step 6: Final answer
    x = 609.68

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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.