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Finding the Fourth Proportional to 294.56, 440.80 and 217.44

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Solution

The fourth proportional to 294.56, 440.80 and 217.44 is: 325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 440.80 = 217.44 : x
  2. Step 2: Convert to fraction form
    294.56/440.80 = 217.44/x
  3. Step 3: Cross multiply
    294.56x = 440.80 × 217.44
  4. Step 4: Simplify right side
    294.56x = 95,847.55
  5. Step 5: Solve for x
    x = 95,847.55/294.56
  6. Step 6: Final answer
    x = 325.39

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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.