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Finding the Fourth Proportional to 437.20, 655.38 and 177.28

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Solution

The fourth proportional to 437.20, 655.38 and 177.28 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 655.38 = 177.28 : x
  2. Step 2: Convert to fraction form
    437.20/655.38 = 177.28/x
  3. Step 3: Cross multiply
    437.20x = 655.38 × 177.28
  4. Step 4: Simplify right side
    437.20x = 116,185.77
  5. Step 5: Solve for x
    x = 116,185.77/437.20
  6. Step 6: Final answer
    x = 265.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.