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Finding the Fourth Proportional to 437.28, 655.36 and 220.92

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Solution

The fourth proportional to 437.28, 655.36 and 220.92 is: 331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.28 : 655.36 = 220.92 : x
  2. Step 2: Convert to fraction form
    437.28/655.36 = 220.92/x
  3. Step 3: Cross multiply
    437.28x = 655.36 × 220.92
  4. Step 4: Simplify right side
    437.28x = 144,782.13
  5. Step 5: Solve for x
    x = 144,782.13/437.28
  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.