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Finding the Fourth Proportional to 576.04, 865.92 and 474.04

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Solution

The fourth proportional to 576.04, 865.92 and 474.04 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.04 : 865.92 = 474.04 : x
  2. Step 2: Convert to fraction form
    576.04/865.92 = 474.04/x
  3. Step 3: Cross multiply
    576.04x = 865.92 × 474.04
  4. Step 4: Simplify right side
    576.04x = 410,480.72
  5. Step 5: Solve for x
    x = 410,480.72/576.04
  6. Step 6: Final answer
    x = 712.59

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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.