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Finding the Fourth Proportional to 393.29, 542.95 and 269.13

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Solution

The fourth proportional to 393.29, 542.95 and 269.13 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.29 : 542.95 = 269.13 : x
  2. Step 2: Convert to fraction form
    393.29/542.95 = 269.13/x
  3. Step 3: Cross multiply
    393.29x = 542.95 × 269.13
  4. Step 4: Simplify right side
    393.29x = 146,124.13
  5. Step 5: Solve for x
    x = 146,124.13/393.29
  6. Step 6: Final answer
    x = 371.54

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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.