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Finding the Fourth Proportional to 576.35, 864.57 and 165.49

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Solution

The fourth proportional to 576.35, 864.57 and 165.49 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.35 : 864.57 = 165.49 : x
  2. Step 2: Convert to fraction form
    576.35/864.57 = 165.49/x
  3. Step 3: Cross multiply
    576.35x = 864.57 × 165.49
  4. Step 4: Simplify right side
    576.35x = 143,076.86
  5. Step 5: Solve for x
    x = 143,076.86/576.35
  6. Step 6: Final answer
    x = 248.25

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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.