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Finding the Fourth Proportional to 576.38, 864.27 and 302.20

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Solution

The fourth proportional to 576.38, 864.27 and 302.20 is: 453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 864.27 = 302.20 : x
  2. Step 2: Convert to fraction form
    576.38/864.27 = 302.20/x
  3. Step 3: Cross multiply
    576.38x = 864.27 × 302.20
  4. Step 4: Simplify right side
    576.38x = 261,180.23
  5. Step 5: Solve for x
    x = 261,180.23/576.38
  6. Step 6: Final answer
    x = 453.14

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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.