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Finding the Fourth Proportional to 624.97, 862.44 and 362.97

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Solution

The fourth proportional to 624.97, 862.44 and 362.97 is: 500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.97 : 862.44 = 362.97 : x
  2. Step 2: Convert to fraction form
    624.97/862.44 = 362.97/x
  3. Step 3: Cross multiply
    624.97x = 862.44 × 362.97
  4. Step 4: Simplify right side
    624.97x = 313,039.85
  5. Step 5: Solve for x
    x = 313,039.85/624.97
  6. Step 6: Final answer
    x = 500.89

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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.