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Finding the Fourth Proportional to 576.41, 864 and 422.10

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Solution

The fourth proportional to 576.41, 864 and 422.10 is: 632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 864 = 422.10 : x
  2. Step 2: Convert to fraction form
    576.41/864 = 422.10/x
  3. Step 3: Cross multiply
    576.41x = 864 × 422.10
  4. Step 4: Simplify right side
    576.41x = 364,694.40
  5. Step 5: Solve for x
    x = 364,694.40/576.41
  6. Step 6: Final answer
    x = 632.71

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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.