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Finding the Fourth Proportional to 631.62, 947.48 and 220.73

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Solution

The fourth proportional to 631.62, 947.48 and 220.73 is: 331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 947.48 = 220.73 : x
  2. Step 2: Convert to fraction form
    631.62/947.48 = 220.73/x
  3. Step 3: Cross multiply
    631.62x = 947.48 × 220.73
  4. Step 4: Simplify right side
    631.62x = 209,131.42
  5. Step 5: Solve for x
    x = 209,131.42/631.62
  6. Step 6: Final answer
    x = 331.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.