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Finding the Fourth Proportional to 512.96, 707.84 and 292

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Solution

The fourth proportional to 512.96, 707.84 and 292 is: 402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.96 : 707.84 = 292 : x
  2. Step 2: Convert to fraction form
    512.96/707.84 = 292/x
  3. Step 3: Cross multiply
    512.96x = 707.84 × 292
  4. Step 4: Simplify right side
    512.96x = 206,689.28
  5. Step 5: Solve for x
    x = 206,689.28/512.96
  6. Step 6: Final answer
    x = 402.93

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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.