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Finding the Fourth Proportional to 624.85, 862.33 and 359.33

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Solution

The fourth proportional to 624.85, 862.33 and 359.33 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.85 : 862.33 = 359.33 : x
  2. Step 2: Convert to fraction form
    624.85/862.33 = 359.33/x
  3. Step 3: Cross multiply
    624.85x = 862.33 × 359.33
  4. Step 4: Simplify right side
    624.85x = 309,861.04
  5. Step 5: Solve for x
    x = 309,861.04/624.85
  6. Step 6: Final answer
    x = 495.90

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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.