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Finding the Fourth Proportional to 576.88, 863.68 and 302.32

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Solution

The fourth proportional to 576.88, 863.68 and 302.32 is: 452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.88 : 863.68 = 302.32 : x
  2. Step 2: Convert to fraction form
    576.88/863.68 = 302.32/x
  3. Step 3: Cross multiply
    576.88x = 863.68 × 302.32
  4. Step 4: Simplify right side
    576.88x = 261,107.74
  5. Step 5: Solve for x
    x = 261,107.74/576.88
  6. Step 6: Final answer
    x = 452.62

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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.