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Finding the Fourth Proportional to 576.60, 865.08 and 474.36

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Solution

The fourth proportional to 576.60, 865.08 and 474.36 is: 711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 865.08 = 474.36 : x
  2. Step 2: Convert to fraction form
    576.60/865.08 = 474.36/x
  3. Step 3: Cross multiply
    576.60x = 865.08 × 474.36
  4. Step 4: Simplify right side
    576.60x = 410,359.35
  5. Step 5: Solve for x
    x = 410,359.35/576.60
  6. Step 6: Final answer
    x = 711.69

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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.