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Finding the Fourth Proportional to 342.56, 512.58 and 332

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Solution

The fourth proportional to 342.56, 512.58 and 332 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 512.58 = 332 : x
  2. Step 2: Convert to fraction form
    342.56/512.58 = 332/x
  3. Step 3: Cross multiply
    342.56x = 512.58 × 332
  4. Step 4: Simplify right side
    342.56x = 170,176.56
  5. Step 5: Solve for x
    x = 170,176.56/342.56
  6. Step 6: Final answer
    x = 496.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.