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Finding the Fourth Proportional to 624.09, 862.41 and 477.75

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Solution

The fourth proportional to 624.09, 862.41 and 477.75 is: 660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.09 : 862.41 = 477.75 : x
  2. Step 2: Convert to fraction form
    624.09/862.41 = 477.75/x
  3. Step 3: Cross multiply
    624.09x = 862.41 × 477.75
  4. Step 4: Simplify right side
    624.09x = 412,016.38
  5. Step 5: Solve for x
    x = 412,016.38/624.09
  6. Step 6: Final answer
    x = 660.19

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Why These Related Problems?

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