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Finding the Fourth Proportional to 576.37, 864.56 and 268.13

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Solution

The fourth proportional to 576.37, 864.56 and 268.13 is: 402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.37 : 864.56 = 268.13 : x
  2. Step 2: Convert to fraction form
    576.37/864.56 = 268.13/x
  3. Step 3: Cross multiply
    576.37x = 864.56 × 268.13
  4. Step 4: Simplify right side
    576.37x = 231,813.13
  5. Step 5: Solve for x
    x = 231,813.13/576.37
  6. Step 6: Final answer
    x = 402.20

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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.