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Finding the Fourth Proportional to 650.80, 976.70 and 240.33

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Solution

The fourth proportional to 650.80, 976.70 and 240.33 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.80 : 976.70 = 240.33 : x
  2. Step 2: Convert to fraction form
    650.80/976.70 = 240.33/x
  3. Step 3: Cross multiply
    650.80x = 976.70 × 240.33
  4. Step 4: Simplify right side
    650.80x = 234,730.31
  5. Step 5: Solve for x
    x = 234,730.31/650.80
  6. Step 6: Final answer
    x = 360.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.