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Finding the Fourth Proportional to 624.25, 861.47 and 344.49

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Solution

The fourth proportional to 624.25, 861.47 and 344.49 is: 475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 861.47 = 344.49 : x
  2. Step 2: Convert to fraction form
    624.25/861.47 = 344.49/x
  3. Step 3: Cross multiply
    624.25x = 861.47 × 344.49
  4. Step 4: Simplify right side
    624.25x = 296,767.59
  5. Step 5: Solve for x
    x = 296,767.59/624.25
  6. Step 6: Final answer
    x = 475.40

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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.