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Finding the Fourth Proportional to 631.59, 871.09 and 382.57

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Solution

The fourth proportional to 631.59, 871.09 and 382.57 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.59 : 871.09 = 382.57 : x
  2. Step 2: Convert to fraction form
    631.59/871.09 = 382.57/x
  3. Step 3: Cross multiply
    631.59x = 871.09 × 382.57
  4. Step 4: Simplify right side
    631.59x = 333,252.90
  5. Step 5: Solve for x
    x = 333,252.90/631.59
  6. Step 6: Final answer
    x = 527.64

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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.