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Finding the Fourth Proportional to 631.72, 871.33 and 382.60

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Solution

The fourth proportional to 631.72, 871.33 and 382.60 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.72 : 871.33 = 382.60 : x
  2. Step 2: Convert to fraction form
    631.72/871.33 = 382.60/x
  3. Step 3: Cross multiply
    631.72x = 871.33 × 382.60
  4. Step 4: Simplify right side
    631.72x = 333,370.86
  5. Step 5: Solve for x
    x = 333,370.86/631.72
  6. Step 6: Final answer
    x = 527.72

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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.