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Finding the Fourth Proportional to 552.33, 828.14 and 308.97

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Solution

The fourth proportional to 552.33, 828.14 and 308.97 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.33 : 828.14 = 308.97 : x
  2. Step 2: Convert to fraction form
    552.33/828.14 = 308.97/x
  3. Step 3: Cross multiply
    552.33x = 828.14 × 308.97
  4. Step 4: Simplify right side
    552.33x = 255,868.87
  5. Step 5: Solve for x
    x = 255,868.87/552.33
  6. Step 6: Final answer
    x = 463.25

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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.