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Finding the Fourth Proportional to 576.88, 795.89 and 352.78

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Solution

The fourth proportional to 576.88, 795.89 and 352.78 is: 486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.88 : 795.89 = 352.78 : x
  2. Step 2: Convert to fraction form
    576.88/795.89 = 352.78/x
  3. Step 3: Cross multiply
    576.88x = 795.89 × 352.78
  4. Step 4: Simplify right side
    576.88x = 280,772.97
  5. Step 5: Solve for x
    x = 280,772.97/576.88
  6. Step 6: Final answer
    x = 486.71

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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.