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Finding the Fourth Proportional to 576.34, 864.32 and 191.50

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Solution

The fourth proportional to 576.34, 864.32 and 191.50 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.34 : 864.32 = 191.50 : x
  2. Step 2: Convert to fraction form
    576.34/864.32 = 191.50/x
  3. Step 3: Cross multiply
    576.34x = 864.32 × 191.50
  4. Step 4: Simplify right side
    576.34x = 165,517.28
  5. Step 5: Solve for x
    x = 165,517.28/576.34
  6. Step 6: Final answer
    x = 287.19

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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.