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Finding the Fourth Proportional to 631.38, 871.44 and 410.24

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Solution

The fourth proportional to 631.38, 871.44 and 410.24 is: 566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.38 : 871.44 = 410.24 : x
  2. Step 2: Convert to fraction form
    631.38/871.44 = 410.24/x
  3. Step 3: Cross multiply
    631.38x = 871.44 × 410.24
  4. Step 4: Simplify right side
    631.38x = 357,499.55
  5. Step 5: Solve for x
    x = 357,499.55/631.38
  6. Step 6: Final answer
    x = 566.22

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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.