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Finding the Fourth Proportional to 650.78, 976.31 and 377.14

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Solution

The fourth proportional to 650.78, 976.31 and 377.14 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.78 : 976.31 = 377.14 : x
  2. Step 2: Convert to fraction form
    650.78/976.31 = 377.14/x
  3. Step 3: Cross multiply
    650.78x = 976.31 × 377.14
  4. Step 4: Simplify right side
    650.78x = 368,198.79
  5. Step 5: Solve for x
    x = 368,198.79/650.78
  6. Step 6: Final answer
    x = 565.78

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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.