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Finding the Fourth Proportional to 576.84, 863.82 and 345.48

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Solution

The fourth proportional to 576.84, 863.82 and 345.48 is: 517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 863.82 = 345.48 : x
  2. Step 2: Convert to fraction form
    576.84/863.82 = 345.48/x
  3. Step 3: Cross multiply
    576.84x = 863.82 × 345.48
  4. Step 4: Simplify right side
    576.84x = 298,432.53
  5. Step 5: Solve for x
    x = 298,432.53/576.84
  6. Step 6: Final answer
    x = 517.36

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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.