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Finding the Fourth Proportional to 631.92, 871.56 and 421.72

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Solution

The fourth proportional to 631.92, 871.56 and 421.72 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 871.56 = 421.72 : x
  2. Step 2: Convert to fraction form
    631.92/871.56 = 421.72/x
  3. Step 3: Cross multiply
    631.92x = 871.56 × 421.72
  4. Step 4: Simplify right side
    631.92x = 367,554.28
  5. Step 5: Solve for x
    x = 367,554.28/631.92
  6. Step 6: Final answer
    x = 581.65

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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.