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Finding the Fourth Proportional to 631.22, 871.33 and 421.32

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Solution

The fourth proportional to 631.22, 871.33 and 421.32 is: 581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.22 : 871.33 = 421.32 : x
  2. Step 2: Convert to fraction form
    631.22/871.33 = 421.32/x
  3. Step 3: Cross multiply
    631.22x = 871.33 × 421.32
  4. Step 4: Simplify right side
    631.22x = 367,108.76
  5. Step 5: Solve for x
    x = 367,108.76/631.22
  6. Step 6: Final answer
    x = 581.59

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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.