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Finding the Fourth Proportional to 437.26, 655.62 and 177.26

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Solution

The fourth proportional to 437.26, 655.62 and 177.26 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.26 : 655.62 = 177.26 : x
  2. Step 2: Convert to fraction form
    437.26/655.62 = 177.26/x
  3. Step 3: Cross multiply
    437.26x = 655.62 × 177.26
  4. Step 4: Simplify right side
    437.26x = 116,215.20
  5. Step 5: Solve for x
    x = 116,215.20/437.26
  6. Step 6: Final answer
    x = 265.78

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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.