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Finding the Fourth Proportional to 576.54, 864.36 and 268.20

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Solution

The fourth proportional to 576.54, 864.36 and 268.20 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.54 : 864.36 = 268.20 : x
  2. Step 2: Convert to fraction form
    576.54/864.36 = 268.20/x
  3. Step 3: Cross multiply
    576.54x = 864.36 × 268.20
  4. Step 4: Simplify right side
    576.54x = 231,821.35
  5. Step 5: Solve for x
    x = 231,821.35/576.54
  6. Step 6: Final answer
    x = 402.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.