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Finding the Fourth Proportional to 424.28, 635.86 and 180.51

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Solution

The fourth proportional to 424.28, 635.86 and 180.51 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.28 : 635.86 = 180.51 : x
  2. Step 2: Convert to fraction form
    424.28/635.86 = 180.51/x
  3. Step 3: Cross multiply
    424.28x = 635.86 × 180.51
  4. Step 4: Simplify right side
    424.28x = 114,779.09
  5. Step 5: Solve for x
    x = 114,779.09/424.28
  6. Step 6: Final answer
    x = 270.53

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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.