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Finding the Fourth Proportional to 512.61, 707.35 and 291.57

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Solution

The fourth proportional to 512.61, 707.35 and 291.57 is: 402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.61 : 707.35 = 291.57 : x
  2. Step 2: Convert to fraction form
    512.61/707.35 = 291.57/x
  3. Step 3: Cross multiply
    512.61x = 707.35 × 291.57
  4. Step 4: Simplify right side
    512.61x = 206,242.04
  5. Step 5: Solve for x
    x = 206,242.04/512.61
  6. Step 6: Final answer
    x = 402.34

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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.