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Finding the Fourth Proportional to 631.60, 871.12 and 410.62

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Solution

The fourth proportional to 631.60, 871.12 and 410.62 is: 566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.60 : 871.12 = 410.62 : x
  2. Step 2: Convert to fraction form
    631.60/871.12 = 410.62/x
  3. Step 3: Cross multiply
    631.60x = 871.12 × 410.62
  4. Step 4: Simplify right side
    631.60x = 357,699.29
  5. Step 5: Solve for x
    x = 357,699.29/631.60
  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.