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Finding the Fourth Proportional to 393.49, 542.78 and 269.09

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Solution

The fourth proportional to 393.49, 542.78 and 269.09 is: 371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.49 : 542.78 = 269.09 : x
  2. Step 2: Convert to fraction form
    393.49/542.78 = 269.09/x
  3. Step 3: Cross multiply
    393.49x = 542.78 × 269.09
  4. Step 4: Simplify right side
    393.49x = 146,056.67
  5. Step 5: Solve for x
    x = 146,056.67/393.49
  6. Step 6: Final answer
    x = 371.18

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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.