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Finding the Fourth Proportional to 631.26, 871.70 and 410.13

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Solution

The fourth proportional to 631.26, 871.70 and 410.13 is: 566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.26 : 871.70 = 410.13 : x
  2. Step 2: Convert to fraction form
    631.26/871.70 = 410.13/x
  3. Step 3: Cross multiply
    631.26x = 871.70 × 410.13
  4. Step 4: Simplify right side
    631.26x = 357,508.27
  5. Step 5: Solve for x
    x = 357,508.27/631.26
  6. Step 6: Final answer
    x = 566.34

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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.