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Finding the Fourth Proportional to 631.23, 871.14 and 382.56

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Solution

The fourth proportional to 631.23, 871.14 and 382.56 is: 527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 871.14 = 382.56 : x
  2. Step 2: Convert to fraction form
    631.23/871.14 = 382.56/x
  3. Step 3: Cross multiply
    631.23x = 871.14 × 382.56
  4. Step 4: Simplify right side
    631.23x = 333,263.32
  5. Step 5: Solve for x
    x = 333,263.32/631.23
  6. Step 6: Final answer
    x = 527.96

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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.