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Finding the Fourth Proportional to 624.74, 862.10 and 362.78

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Solution

The fourth proportional to 624.74, 862.10 and 362.78 is: 500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.74 : 862.10 = 362.78 : x
  2. Step 2: Convert to fraction form
    624.74/862.10 = 362.78/x
  3. Step 3: Cross multiply
    624.74x = 862.10 × 362.78
  4. Step 4: Simplify right side
    624.74x = 312,750.82
  5. Step 5: Solve for x
    x = 312,750.82/624.74
  6. Step 6: Final answer
    x = 500.61

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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.