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Finding the Fourth Proportional to 650.67, 976.41 and 474.65

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Solution

The fourth proportional to 650.67, 976.41 and 474.65 is: 712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.67 : 976.41 = 474.65 : x
  2. Step 2: Convert to fraction form
    650.67/976.41 = 474.65/x
  3. Step 3: Cross multiply
    650.67x = 976.41 × 474.65
  4. Step 4: Simplify right side
    650.67x = 463,453.01
  5. Step 5: Solve for x
    x = 463,453.01/650.67
  6. Step 6: Final answer
    x = 712.27

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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.