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Finding the Fourth Proportional to 576.26, 864.11 and 210.80

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Solution

The fourth proportional to 576.26, 864.11 and 210.80 is: 316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.26 : 864.11 = 210.80 : x
  2. Step 2: Convert to fraction form
    576.26/864.11 = 210.80/x
  3. Step 3: Cross multiply
    576.26x = 864.11 × 210.80
  4. Step 4: Simplify right side
    576.26x = 182,154.39
  5. Step 5: Solve for x
    x = 182,154.39/576.26
  6. Step 6: Final answer
    x = 316.10

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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.