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Finding the Fourth Proportional to 631.71, 871.47 and 445.14

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Solution

The fourth proportional to 631.71, 871.47 and 445.14 is: 614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.71 : 871.47 = 445.14 : x
  2. Step 2: Convert to fraction form
    631.71/871.47 = 445.14/x
  3. Step 3: Cross multiply
    631.71x = 871.47 × 445.14
  4. Step 4: Simplify right side
    631.71x = 387,926.16
  5. Step 5: Solve for x
    x = 387,926.16/631.71
  6. Step 6: Final answer
    x = 614.09

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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.