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Finding the Fourth Proportional to 631.92, 871.74 and 399.24

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Solution

The fourth proportional to 631.92, 871.74 and 399.24 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 871.74 = 399.24 : x
  2. Step 2: Convert to fraction form
    631.92/871.74 = 399.24/x
  3. Step 3: Cross multiply
    631.92x = 871.74 × 399.24
  4. Step 4: Simplify right side
    631.92x = 348,033.48
  5. Step 5: Solve for x
    x = 348,033.48/631.92
  6. Step 6: Final answer
    x = 550.76

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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.