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Finding the Fourth Proportional to 552.66, 827.91 and 264.30

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Solution

The fourth proportional to 552.66, 827.91 and 264.30 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 827.91 = 264.30 : x
  2. Step 2: Convert to fraction form
    552.66/827.91 = 264.30/x
  3. Step 3: Cross multiply
    552.66x = 827.91 × 264.30
  4. Step 4: Simplify right side
    552.66x = 218,816.61
  5. Step 5: Solve for x
    x = 218,816.61/552.66
  6. Step 6: Final answer
    x = 395.93

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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.