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Finding the Fourth Proportional to 650.50, 976.14 and 239.93

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Solution

The fourth proportional to 650.50, 976.14 and 239.93 is: 360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.50 : 976.14 = 239.93 : x
  2. Step 2: Convert to fraction form
    650.50/976.14 = 239.93/x
  3. Step 3: Cross multiply
    650.50x = 976.14 × 239.93
  4. Step 4: Simplify right side
    650.50x = 234,202.83
  5. Step 5: Solve for x
    x = 234,202.83/650.50
  6. Step 6: Final answer
    x = 360.03

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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.