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Finding the Fourth Proportional to 624.89, 862.26 and 359.42

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Solution

The fourth proportional to 624.89, 862.26 and 359.42 is: 495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 862.26 = 359.42 : x
  2. Step 2: Convert to fraction form
    624.89/862.26 = 359.42/x
  3. Step 3: Cross multiply
    624.89x = 862.26 × 359.42
  4. Step 4: Simplify right side
    624.89x = 309,909.18
  5. Step 5: Solve for x
    x = 309,909.18/624.89
  6. Step 6: Final answer
    x = 495.95

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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.