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Finding the Fourth Proportional to 650.78, 976.31 and 240.01

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Solution

The fourth proportional to 650.78, 976.31 and 240.01 is: 360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.78 : 976.31 = 240.01 : x
  2. Step 2: Convert to fraction form
    650.78/976.31 = 240.01/x
  3. Step 3: Cross multiply
    650.78x = 976.31 × 240.01
  4. Step 4: Simplify right side
    650.78x = 234,321.42
  5. Step 5: Solve for x
    x = 234,321.42/650.78
  6. Step 6: Final answer
    x = 360.06

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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.