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Finding the Fourth Proportional to 624.86, 862.04 and 359.25

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Solution

The fourth proportional to 624.86, 862.04 and 359.25 is: 495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.86 : 862.04 = 359.25 : x
  2. Step 2: Convert to fraction form
    624.86/862.04 = 359.25/x
  3. Step 3: Cross multiply
    624.86x = 862.04 × 359.25
  4. Step 4: Simplify right side
    624.86x = 309,686.07
  5. Step 5: Solve for x
    x = 309,686.07/624.86
  6. Step 6: Final answer
    x = 495.61

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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.