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Finding the Fourth Proportional to 576.33, 864.52 and 165.52

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Solution

The fourth proportional to 576.33, 864.52 and 165.52 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.33 : 864.52 = 165.52 : x
  2. Step 2: Convert to fraction form
    576.33/864.52 = 165.52/x
  3. Step 3: Cross multiply
    576.33x = 864.52 × 165.52
  4. Step 4: Simplify right side
    576.33x = 143,095.35
  5. Step 5: Solve for x
    x = 143,095.35/576.33
  6. Step 6: Final answer
    x = 248.29

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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.