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Finding the Fourth Proportional to 624.17, 936.24 and 185.42

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Solution

The fourth proportional to 624.17, 936.24 and 185.42 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.17 : 936.24 = 185.42 : x
  2. Step 2: Convert to fraction form
    624.17/936.24 = 185.42/x
  3. Step 3: Cross multiply
    624.17x = 936.24 × 185.42
  4. Step 4: Simplify right side
    624.17x = 173,594.57
  5. Step 5: Solve for x
    x = 173,594.57/624.17
  6. Step 6: Final answer
    x = 278.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.