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Finding the Fourth Proportional to 631.76, 871.97 and 410.32

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Solution

The fourth proportional to 631.76, 871.97 and 410.32 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 871.97 = 410.32 : x
  2. Step 2: Convert to fraction form
    631.76/871.97 = 410.32/x
  3. Step 3: Cross multiply
    631.76x = 871.97 × 410.32
  4. Step 4: Simplify right side
    631.76x = 357,784.68
  5. Step 5: Solve for x
    x = 357,784.68/631.76
  6. Step 6: Final answer
    x = 566.33

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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.