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Finding the Fourth Proportional to 512.28, 706.90 and 291.27

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Solution

The fourth proportional to 512.28, 706.90 and 291.27 is: 401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.28 : 706.90 = 291.27 : x
  2. Step 2: Convert to fraction form
    512.28/706.90 = 291.27/x
  3. Step 3: Cross multiply
    512.28x = 706.90 × 291.27
  4. Step 4: Simplify right side
    512.28x = 205,898.76
  5. Step 5: Solve for x
    x = 205,898.76/512.28
  6. Step 6: Final answer
    x = 401.93

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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.