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Finding the Fourth Proportional to 437.52, 655.38 and 329.16

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Solution

The fourth proportional to 437.52, 655.38 and 329.16 is: 493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.52 : 655.38 = 329.16 : x
  2. Step 2: Convert to fraction form
    437.52/655.38 = 329.16/x
  3. Step 3: Cross multiply
    437.52x = 655.38 × 329.16
  4. Step 4: Simplify right side
    437.52x = 215,724.88
  5. Step 5: Solve for x
    x = 215,724.88/437.52
  6. Step 6: Final answer
    x = 493.06

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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.