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Finding the Fourth Proportional to 342.28, 471.60 and 231.64

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Solution

The fourth proportional to 342.28, 471.60 and 231.64 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 471.60 = 231.64 : x
  2. Step 2: Convert to fraction form
    342.28/471.60 = 231.64/x
  3. Step 3: Cross multiply
    342.28x = 471.60 × 231.64
  4. Step 4: Simplify right side
    342.28x = 109,241.42
  5. Step 5: Solve for x
    x = 109,241.42/342.28
  6. Step 6: Final answer
    x = 319.16

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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.