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Finding the Fourth Proportional to 576.30, 863.19 and 470.64

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Solution

The fourth proportional to 576.30, 863.19 and 470.64 is: 704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 863.19 = 470.64 : x
  2. Step 2: Convert to fraction form
    576.30/863.19 = 470.64/x
  3. Step 3: Cross multiply
    576.30x = 863.19 × 470.64
  4. Step 4: Simplify right side
    576.30x = 406,251.74
  5. Step 5: Solve for x
    x = 406,251.74/576.30
  6. Step 6: Final answer
    x = 704.93

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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.