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Finding the Fourth Proportional to 576.39, 864.57 and 206.19

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Solution

The fourth proportional to 576.39, 864.57 and 206.19 is: 309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.39 : 864.57 = 206.19 : x
  2. Step 2: Convert to fraction form
    576.39/864.57 = 206.19/x
  3. Step 3: Cross multiply
    576.39x = 864.57 × 206.19
  4. Step 4: Simplify right side
    576.39x = 178,265.69
  5. Step 5: Solve for x
    x = 178,265.69/576.39
  6. Step 6: Final answer
    x = 309.28

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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.