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Finding the Fourth Proportional to 437.11, 655.76 and 217.85

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Solution

The fourth proportional to 437.11, 655.76 and 217.85 is: 326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.11 : 655.76 = 217.85 : x
  2. Step 2: Convert to fraction form
    437.11/655.76 = 217.85/x
  3. Step 3: Cross multiply
    437.11x = 655.76 × 217.85
  4. Step 4: Simplify right side
    437.11x = 142,857.32
  5. Step 5: Solve for x
    x = 142,857.32/437.11
  6. Step 6: Final answer
    x = 326.82

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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.