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Finding the Fourth Proportional to 624.02, 861.14 and 344.28

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Solution

The fourth proportional to 624.02, 861.14 and 344.28 is: 475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.02 : 861.14 = 344.28 : x
  2. Step 2: Convert to fraction form
    624.02/861.14 = 344.28/x
  3. Step 3: Cross multiply
    624.02x = 861.14 × 344.28
  4. Step 4: Simplify right side
    624.02x = 296,471.56
  5. Step 5: Solve for x
    x = 296,471.56/624.02
  6. Step 6: Final answer
    x = 475.10

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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.