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Finding the Fourth Proportional to 624.90, 862.29 and 362.97

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Solution

The fourth proportional to 624.90, 862.29 and 362.97 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 862.29 = 362.97 : x
  2. Step 2: Convert to fraction form
    624.90/862.29 = 362.97/x
  3. Step 3: Cross multiply
    624.90x = 862.29 × 362.97
  4. Step 4: Simplify right side
    624.90x = 312,985.40
  5. Step 5: Solve for x
    x = 312,985.40/624.90
  6. Step 6: Final answer
    x = 500.86

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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.