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Finding the Fourth Proportional to 342.65, 472.13 and 231.94

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Solution

The fourth proportional to 342.65, 472.13 and 231.94 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 472.13 = 231.94 : x
  2. Step 2: Convert to fraction form
    342.65/472.13 = 231.94/x
  3. Step 3: Cross multiply
    342.65x = 472.13 × 231.94
  4. Step 4: Simplify right side
    342.65x = 109,505.23
  5. Step 5: Solve for x
    x = 109,505.23/342.65
  6. Step 6: Final answer
    x = 319.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.