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Finding the Fourth Proportional to 512.57, 707.30 and 291.56

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Solution

The fourth proportional to 512.57, 707.30 and 291.56 is: 402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.57 : 707.30 = 291.56 : x
  2. Step 2: Convert to fraction form
    512.57/707.30 = 291.56/x
  3. Step 3: Cross multiply
    512.57x = 707.30 × 291.56
  4. Step 4: Simplify right side
    512.57x = 206,220.39
  5. Step 5: Solve for x
    x = 206,220.39/512.57
  6. Step 6: Final answer
    x = 402.33

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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.