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Finding the Fourth Proportional to 576.94, 865.44 and 247.84

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Solution

The fourth proportional to 576.94, 865.44 and 247.84 is: 371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.94 : 865.44 = 247.84 : x
  2. Step 2: Convert to fraction form
    576.94/865.44 = 247.84/x
  3. Step 3: Cross multiply
    576.94x = 865.44 × 247.84
  4. Step 4: Simplify right side
    576.94x = 214,490.65
  5. Step 5: Solve for x
    x = 214,490.65/576.94
  6. Step 6: Final answer
    x = 371.77

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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.