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Finding the Fourth Proportional to 576.96, 865.63 and 243.57

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Solution

The fourth proportional to 576.96, 865.63 and 243.57 is: 365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 865.63 = 243.57 : x
  2. Step 2: Convert to fraction form
    576.96/865.63 = 243.57/x
  3. Step 3: Cross multiply
    576.96x = 865.63 × 243.57
  4. Step 4: Simplify right side
    576.96x = 210,841.23
  5. Step 5: Solve for x
    x = 210,841.23/576.96
  6. Step 6: Final answer
    x = 365.43

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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.