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Finding the Fourth Proportional to 552.86, 762.98 and 366.22

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Solution

The fourth proportional to 552.86, 762.98 and 366.22 is: 505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.86 : 762.98 = 366.22 : x
  2. Step 2: Convert to fraction form
    552.86/762.98 = 366.22/x
  3. Step 3: Cross multiply
    552.86x = 762.98 × 366.22
  4. Step 4: Simplify right side
    552.86x = 279,414.80
  5. Step 5: Solve for x
    x = 279,414.80/552.86
  6. Step 6: Final answer
    x = 505.40

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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.