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Finding the Fourth Proportional to 624.45, 861.75 and 358.82

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Solution

The fourth proportional to 624.45, 861.75 and 358.82 is: 495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 861.75 = 358.82 : x
  2. Step 2: Convert to fraction form
    624.45/861.75 = 358.82/x
  3. Step 3: Cross multiply
    624.45x = 861.75 × 358.82
  4. Step 4: Simplify right side
    624.45x = 309,213.14
  5. Step 5: Solve for x
    x = 309,213.14/624.45
  6. Step 6: Final answer
    x = 495.18

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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.