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Finding the Fourth Proportional to 576.95, 865.61 and 252.33

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Solution

The fourth proportional to 576.95, 865.61 and 252.33 is: 378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.95 : 865.61 = 252.33 : x
  2. Step 2: Convert to fraction form
    576.95/865.61 = 252.33/x
  3. Step 3: Cross multiply
    576.95x = 865.61 × 252.33
  4. Step 4: Simplify right side
    576.95x = 218,418.11
  5. Step 5: Solve for x
    x = 218,418.11/576.95
  6. Step 6: Final answer
    x = 378.58

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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.