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Finding the Fourth Proportional to 342.48, 471.84 and 231.84

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Solution

The fourth proportional to 342.48, 471.84 and 231.84 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 471.84 = 231.84 : x
  2. Step 2: Convert to fraction form
    342.48/471.84 = 231.84/x
  3. Step 3: Cross multiply
    342.48x = 471.84 × 231.84
  4. Step 4: Simplify right side
    342.48x = 109,391.39
  5. Step 5: Solve for x
    x = 109,391.39/342.48
  6. Step 6: Final answer
    x = 319.41

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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.