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Finding the Fourth Proportional to 624.62, 862.08 and 362.68

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Solution

The fourth proportional to 624.62, 862.08 and 362.68 is: 500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.62 : 862.08 = 362.68 : x
  2. Step 2: Convert to fraction form
    624.62/862.08 = 362.68/x
  3. Step 3: Cross multiply
    624.62x = 862.08 × 362.68
  4. Step 4: Simplify right side
    624.62x = 312,659.17
  5. Step 5: Solve for x
    x = 312,659.17/624.62
  6. Step 6: Final answer
    x = 500.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.