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Finding the Fourth Proportional to 309.24, 426.37 and 269.90

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Solution

The fourth proportional to 309.24, 426.37 and 269.90 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 426.37 = 269.90 : x
  2. Step 2: Convert to fraction form
    309.24/426.37 = 269.90/x
  3. Step 3: Cross multiply
    309.24x = 426.37 × 269.90
  4. Step 4: Simplify right side
    309.24x = 115,077.26
  5. Step 5: Solve for x
    x = 115,077.26/309.24
  6. Step 6: Final answer
    x = 372.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.