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Finding the Fourth Proportional to 342.29, 472.10 and 231.57

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Solution

The fourth proportional to 342.29, 472.10 and 231.57 is: 319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 472.10 = 231.57 : x
  2. Step 2: Convert to fraction form
    342.29/472.10 = 231.57/x
  3. Step 3: Cross multiply
    342.29x = 472.10 × 231.57
  4. Step 4: Simplify right side
    342.29x = 109,323.04
  5. Step 5: Solve for x
    x = 109,323.04/342.29
  6. Step 6: Final answer
    x = 319.38

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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.