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Finding the Fourth Proportional to 624.78, 862.25 and 376.27

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Solution

The fourth proportional to 624.78, 862.25 and 376.27 is: 519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 862.25 = 376.27 : x
  2. Step 2: Convert to fraction form
    624.78/862.25 = 376.27/x
  3. Step 3: Cross multiply
    624.78x = 862.25 × 376.27
  4. Step 4: Simplify right side
    624.78x = 324,434.77
  5. Step 5: Solve for x
    x = 324,434.77/624.78
  6. Step 6: Final answer
    x = 519.28

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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.