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Finding the Fourth Proportional to 576.80, 864.96 and 234.56

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Solution

The fourth proportional to 576.80, 864.96 and 234.56 is: 351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 864.96 = 234.56 : x
  2. Step 2: Convert to fraction form
    576.80/864.96 = 234.56/x
  3. Step 3: Cross multiply
    576.80x = 864.96 × 234.56
  4. Step 4: Simplify right side
    576.80x = 202,885.02
  5. Step 5: Solve for x
    x = 202,885.02/576.80
  6. Step 6: Final answer
    x = 351.74

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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.