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Finding the Fourth Proportional to 424, 635.28 and 180

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Solution

The fourth proportional to 424, 635.28 and 180 is: 269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424 : 635.28 = 180 : x
  2. Step 2: Convert to fraction form
    424/635.28 = 180/x
  3. Step 3: Cross multiply
    424x = 635.28 × 180
  4. Step 4: Simplify right side
    424x = 114,350.40
  5. Step 5: Solve for x
    x = 114,350.40/424
  6. Step 6: Final answer
    x = 269.69

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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.