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Finding the Fourth Proportional to 385.17, 576.50 and 327.48

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Solution

The fourth proportional to 385.17, 576.50 and 327.48 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 576.50 = 327.48 : x
  2. Step 2: Convert to fraction form
    385.17/576.50 = 327.48/x
  3. Step 3: Cross multiply
    385.17x = 576.50 × 327.48
  4. Step 4: Simplify right side
    385.17x = 188,790.58
  5. Step 5: Solve for x
    x = 188,790.58/385.17
  6. Step 6: Final answer
    x = 490.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.