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Finding the Fourth Proportional to 552.68, 763.05 and 366.48

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Solution

The fourth proportional to 552.68, 763.05 and 366.48 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 763.05 = 366.48 : x
  2. Step 2: Convert to fraction form
    552.68/763.05 = 366.48/x
  3. Step 3: Cross multiply
    552.68x = 763.05 × 366.48
  4. Step 4: Simplify right side
    552.68x = 279,642.56
  5. Step 5: Solve for x
    x = 279,642.56/552.68
  6. Step 6: Final answer
    x = 505.98

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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.