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Finding the Fourth Proportional to 552.67, 762.56 and 342.88

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Solution

The fourth proportional to 552.67, 762.56 and 342.88 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.67 : 762.56 = 342.88 : x
  2. Step 2: Convert to fraction form
    552.67/762.56 = 342.88/x
  3. Step 3: Cross multiply
    552.67x = 762.56 × 342.88
  4. Step 4: Simplify right side
    552.67x = 261,470.46
  5. Step 5: Solve for x
    x = 261,470.46/552.67
  6. Step 6: Final answer
    x = 473.10

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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.