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Finding the Fourth Proportional to 631.85, 871.70 and 422.06

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Solution

The fourth proportional to 631.85, 871.70 and 422.06 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.85 : 871.70 = 422.06 : x
  2. Step 2: Convert to fraction form
    631.85/871.70 = 422.06/x
  3. Step 3: Cross multiply
    631.85x = 871.70 × 422.06
  4. Step 4: Simplify right side
    631.85x = 367,903.23
  5. Step 5: Solve for x
    x = 367,903.23/631.85
  6. Step 6: Final answer
    x = 582.27

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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.