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Finding the Fourth Proportional to 512.54, 707.32 and 291.50

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Solution

The fourth proportional to 512.54, 707.32 and 291.50 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 707.32 = 291.50 : x
  2. Step 2: Convert to fraction form
    512.54/707.32 = 291.50/x
  3. Step 3: Cross multiply
    512.54x = 707.32 × 291.50
  4. Step 4: Simplify right side
    512.54x = 206,183.78
  5. Step 5: Solve for x
    x = 206,183.78/512.54
  6. Step 6: Final answer
    x = 402.28

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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.