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Finding the Fourth Proportional to 631.62, 871.41 and 355.62

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Solution

The fourth proportional to 631.62, 871.41 and 355.62 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 871.41 = 355.62 : x
  2. Step 2: Convert to fraction form
    631.62/871.41 = 355.62/x
  3. Step 3: Cross multiply
    631.62x = 871.41 × 355.62
  4. Step 4: Simplify right side
    631.62x = 309,890.82
  5. Step 5: Solve for x
    x = 309,890.82/631.62
  6. Step 6: Final answer
    x = 490.63

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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.