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Finding the Fourth Proportional to 424.07, 635.49 and 180.26

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Solution

The fourth proportional to 424.07, 635.49 and 180.26 is: 270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.07 : 635.49 = 180.26 : x
  2. Step 2: Convert to fraction form
    424.07/635.49 = 180.26/x
  3. Step 3: Cross multiply
    424.07x = 635.49 × 180.26
  4. Step 4: Simplify right side
    424.07x = 114,550.25
  5. Step 5: Solve for x
    x = 114,550.25/424.07
  6. Step 6: Final answer
    x = 270.12

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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.