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Finding the Fourth Proportional to 394.02, 543.54 and 269.46

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Solution

The fourth proportional to 394.02, 543.54 and 269.46 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 543.54 = 269.46 : x
  2. Step 2: Convert to fraction form
    394.02/543.54 = 269.46/x
  3. Step 3: Cross multiply
    394.02x = 543.54 × 269.46
  4. Step 4: Simplify right side
    394.02x = 146,462.29
  5. Step 5: Solve for x
    x = 146,462.29/394.02
  6. Step 6: Final answer
    x = 371.71

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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.