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Finding the Fourth Proportional to 631.12, 871.08 and 424

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Solution

The fourth proportional to 631.12, 871.08 and 424 is: 585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.12 : 871.08 = 424 : x
  2. Step 2: Convert to fraction form
    631.12/871.08 = 424/x
  3. Step 3: Cross multiply
    631.12x = 871.08 × 424
  4. Step 4: Simplify right side
    631.12x = 369,337.92
  5. Step 5: Solve for x
    x = 369,337.92/631.12
  6. Step 6: Final answer
    x = 585.21

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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.