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Finding the Fourth Proportional to 437.52, 655.32 and 220.64

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Solution

The fourth proportional to 437.52, 655.32 and 220.64 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.52 : 655.32 = 220.64 : x
  2. Step 2: Convert to fraction form
    437.52/655.32 = 220.64/x
  3. Step 3: Cross multiply
    437.52x = 655.32 × 220.64
  4. Step 4: Simplify right side
    437.52x = 144,589.80
  5. Step 5: Solve for x
    x = 144,589.80/437.52
  6. Step 6: Final answer
    x = 330.48

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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.