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Finding the Fourth Proportional to 437.30, 655.57 and 177.52

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Solution

The fourth proportional to 437.30, 655.57 and 177.52 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.30 : 655.57 = 177.52 : x
  2. Step 2: Convert to fraction form
    437.30/655.57 = 177.52/x
  3. Step 3: Cross multiply
    437.30x = 655.57 × 177.52
  4. Step 4: Simplify right side
    437.30x = 116,374.26
  5. Step 5: Solve for x
    x = 116,374.26/437.30
  6. Step 6: Final answer
    x = 266.12

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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.