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Finding the Fourth Proportional to 424.23, 636 and 180.69

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Solution

The fourth proportional to 424.23, 636 and 180.69 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 636 = 180.69 : x
  2. Step 2: Convert to fraction form
    424.23/636 = 180.69/x
  3. Step 3: Cross multiply
    424.23x = 636 × 180.69
  4. Step 4: Simplify right side
    424.23x = 114,918.84
  5. Step 5: Solve for x
    x = 114,918.84/424.23
  6. Step 6: Final answer
    x = 270.89

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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.