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Finding the Fourth Proportional to 409.43, 565.07 and 269.49

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Solution

The fourth proportional to 409.43, 565.07 and 269.49 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 565.07 = 269.49 : x
  2. Step 2: Convert to fraction form
    409.43/565.07 = 269.49/x
  3. Step 3: Cross multiply
    409.43x = 565.07 × 269.49
  4. Step 4: Simplify right side
    409.43x = 152,279.37
  5. Step 5: Solve for x
    x = 152,279.37/409.43
  6. Step 6: Final answer
    x = 371.93

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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.