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Finding the Fourth Proportional to 576.84, 865.23 and 268.59

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Solution

The fourth proportional to 576.84, 865.23 and 268.59 is: 402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 865.23 = 268.59 : x
  2. Step 2: Convert to fraction form
    576.84/865.23 = 268.59/x
  3. Step 3: Cross multiply
    576.84x = 865.23 × 268.59
  4. Step 4: Simplify right side
    576.84x = 232,388.47
  5. Step 5: Solve for x
    x = 232,388.47/576.84
  6. Step 6: Final answer
    x = 402.86

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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.