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Finding the Fourth Proportional to 576.60, 863.88 and 302.28

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Solution

The fourth proportional to 576.60, 863.88 and 302.28 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 863.88 = 302.28 : x
  2. Step 2: Convert to fraction form
    576.60/863.88 = 302.28/x
  3. Step 3: Cross multiply
    576.60x = 863.88 × 302.28
  4. Step 4: Simplify right side
    576.60x = 261,133.65
  5. Step 5: Solve for x
    x = 261,133.65/576.60
  6. Step 6: Final answer
    x = 452.89

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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.