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Finding the Fourth Proportional to 576.10, 864.25 and 302.27

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Solution

The fourth proportional to 576.10, 864.25 and 302.27 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.10 : 864.25 = 302.27 : x
  2. Step 2: Convert to fraction form
    576.10/864.25 = 302.27/x
  3. Step 3: Cross multiply
    576.10x = 864.25 × 302.27
  4. Step 4: Simplify right side
    576.10x = 261,236.85
  5. Step 5: Solve for x
    x = 261,236.85/576.10
  6. Step 6: Final answer
    x = 453.46

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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.