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Finding the Fourth Proportional to 342.24, 471.78 and 268.32

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Solution

The fourth proportional to 342.24, 471.78 and 268.32 is: 369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 471.78 = 268.32 : x
  2. Step 2: Convert to fraction form
    342.24/471.78 = 268.32/x
  3. Step 3: Cross multiply
    342.24x = 471.78 × 268.32
  4. Step 4: Simplify right side
    342.24x = 126,588.01
  5. Step 5: Solve for x
    x = 126,588.01/342.24
  6. Step 6: Final answer
    x = 369.88

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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.