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Finding the Fourth Proportional to 424.42, 636.63 and 180.92

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Solution

The fourth proportional to 424.42, 636.63 and 180.92 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 636.63 = 180.92 : x
  2. Step 2: Convert to fraction form
    424.42/636.63 = 180.92/x
  3. Step 3: Cross multiply
    424.42x = 636.63 × 180.92
  4. Step 4: Simplify right side
    424.42x = 115,178.20
  5. Step 5: Solve for x
    x = 115,178.20/424.42
  6. Step 6: Final answer
    x = 271.38

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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.