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Finding the Fourth Proportional to 269.24, 401.44 and 264.38

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Solution

The fourth proportional to 269.24, 401.44 and 264.38 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.24 : 401.44 = 264.38 : x
  2. Step 2: Convert to fraction form
    269.24/401.44 = 264.38/x
  3. Step 3: Cross multiply
    269.24x = 401.44 × 264.38
  4. Step 4: Simplify right side
    269.24x = 106,132.71
  5. Step 5: Solve for x
    x = 106,132.71/269.24
  6. Step 6: Final answer
    x = 394.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.