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Finding the Fourth Proportional to 576.46, 864.71 and 268.22

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Solution

The fourth proportional to 576.46, 864.71 and 268.22 is: 402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.46 : 864.71 = 268.22 : x
  2. Step 2: Convert to fraction form
    576.46/864.71 = 268.22/x
  3. Step 3: Cross multiply
    576.46x = 864.71 × 268.22
  4. Step 4: Simplify right side
    576.46x = 231,932.52
  5. Step 5: Solve for x
    x = 231,932.52/576.46
  6. Step 6: Final answer
    x = 402.34

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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.