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Finding the Fourth Proportional to 576.79, 863.46 and 370.64

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Solution

The fourth proportional to 576.79, 863.46 and 370.64 is: 554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.79 : 863.46 = 370.64 : x
  2. Step 2: Convert to fraction form
    576.79/863.46 = 370.64/x
  3. Step 3: Cross multiply
    576.79x = 863.46 × 370.64
  4. Step 4: Simplify right side
    576.79x = 320,034.97
  5. Step 5: Solve for x
    x = 320,034.97/576.79
  6. Step 6: Final answer
    x = 554.86

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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.