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Finding the Fourth Proportional to 624.73, 862.11 and 362.74

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Solution

The fourth proportional to 624.73, 862.11 and 362.74 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.73 : 862.11 = 362.74 : x
  2. Step 2: Convert to fraction form
    624.73/862.11 = 362.74/x
  3. Step 3: Cross multiply
    624.73x = 862.11 × 362.74
  4. Step 4: Simplify right side
    624.73x = 312,721.78
  5. Step 5: Solve for x
    x = 312,721.78/624.73
  6. Step 6: Final answer
    x = 500.57

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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.