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Finding the Fourth Proportional to 512.44, 707.14 and 291.42

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Solution

The fourth proportional to 512.44, 707.14 and 291.42 is: 402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 707.14 = 291.42 : x
  2. Step 2: Convert to fraction form
    512.44/707.14 = 291.42/x
  3. Step 3: Cross multiply
    512.44x = 707.14 × 291.42
  4. Step 4: Simplify right side
    512.44x = 206,074.74
  5. Step 5: Solve for x
    x = 206,074.74/512.44
  6. Step 6: Final answer
    x = 402.14

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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.