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Finding the Fourth Proportional to 624.92, 862.74 and 376.34

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Solution

The fourth proportional to 624.92, 862.74 and 376.34 is: 519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.92 : 862.74 = 376.34 : x
  2. Step 2: Convert to fraction form
    624.92/862.74 = 376.34/x
  3. Step 3: Cross multiply
    624.92x = 862.74 × 376.34
  4. Step 4: Simplify right side
    624.92x = 324,679.26
  5. Step 5: Solve for x
    x = 324,679.26/624.92
  6. Step 6: Final answer
    x = 519.56

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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.