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Finding the Fourth Proportional to 437.06, 655.63 and 180.56

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Solution

The fourth proportional to 437.06, 655.63 and 180.56 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.06 : 655.63 = 180.56 : x
  2. Step 2: Convert to fraction form
    437.06/655.63 = 180.56/x
  3. Step 3: Cross multiply
    437.06x = 655.63 × 180.56
  4. Step 4: Simplify right side
    437.06x = 118,381.74
  5. Step 5: Solve for x
    x = 118,381.74/437.06
  6. Step 6: Final answer
    x = 270.86

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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.