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Finding the Fourth Proportional to 342.01, 472.40 and 269.29

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Solution

The fourth proportional to 342.01, 472.40 and 269.29 is: 371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.01 : 472.40 = 269.29 : x
  2. Step 2: Convert to fraction form
    342.01/472.40 = 269.29/x
  3. Step 3: Cross multiply
    342.01x = 472.40 × 269.29
  4. Step 4: Simplify right side
    342.01x = 127,212.60
  5. Step 5: Solve for x
    x = 127,212.60/342.01
  6. Step 6: Final answer
    x = 371.96

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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.