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Finding the Fourth Proportional to 436.88, 655.62 and 180.38

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Solution

The fourth proportional to 436.88, 655.62 and 180.38 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 655.62 = 180.38 : x
  2. Step 2: Convert to fraction form
    436.88/655.62 = 180.38/x
  3. Step 3: Cross multiply
    436.88x = 655.62 × 180.38
  4. Step 4: Simplify right side
    436.88x = 118,256.56
  5. Step 5: Solve for x
    x = 118,256.56/436.88
  6. Step 6: Final answer
    x = 270.69

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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.