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Finding the Fourth Proportional to 512.56, 707.32 and 291.54

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Solution

The fourth proportional to 512.56, 707.32 and 291.54 is: 402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 707.32 = 291.54 : x
  2. Step 2: Convert to fraction form
    512.56/707.32 = 291.54/x
  3. Step 3: Cross multiply
    512.56x = 707.32 × 291.54
  4. Step 4: Simplify right side
    512.56x = 206,212.07
  5. Step 5: Solve for x
    x = 206,212.07/512.56
  6. Step 6: Final answer
    x = 402.32

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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.