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Finding the Fourth Proportional to 552.71, 763.10 and 343.11

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Solution

The fourth proportional to 552.71, 763.10 and 343.11 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.71 : 763.10 = 343.11 : x
  2. Step 2: Convert to fraction form
    552.71/763.10 = 343.11/x
  3. Step 3: Cross multiply
    552.71x = 763.10 × 343.11
  4. Step 4: Simplify right side
    552.71x = 261,829.67
  5. Step 5: Solve for x
    x = 261,829.67/552.71
  6. Step 6: Final answer
    x = 473.72

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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.