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Finding the Fourth Proportional to 552.15, 827.15 and 259.27

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Solution

The fourth proportional to 552.15, 827.15 and 259.27 is: 388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.15 : 827.15 = 259.27 : x
  2. Step 2: Convert to fraction form
    552.15/827.15 = 259.27/x
  3. Step 3: Cross multiply
    552.15x = 827.15 × 259.27
  4. Step 4: Simplify right side
    552.15x = 214,451.82
  5. Step 5: Solve for x
    x = 214,451.82/552.15
  6. Step 6: Final answer
    x = 388.39

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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.