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Finding the Fourth Proportional to 514.06, 709.37 and 292.97

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Solution

The fourth proportional to 514.06, 709.37 and 292.97 is: 404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.06 : 709.37 = 292.97 : x
  2. Step 2: Convert to fraction form
    514.06/709.37 = 292.97/x
  3. Step 3: Cross multiply
    514.06x = 709.37 × 292.97
  4. Step 4: Simplify right side
    514.06x = 207,822.66
  5. Step 5: Solve for x
    x = 207,822.66/514.06
  6. Step 6: Final answer
    x = 404.28

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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.