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Finding the Fourth Proportional to 650.96, 976.44 and 396.08

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Solution

The fourth proportional to 650.96, 976.44 and 396.08 is: 594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.96 : 976.44 = 396.08 : x
  2. Step 2: Convert to fraction form
    650.96/976.44 = 396.08/x
  3. Step 3: Cross multiply
    650.96x = 976.44 × 396.08
  4. Step 4: Simplify right side
    650.96x = 386,748.36
  5. Step 5: Solve for x
    x = 386,748.36/650.96
  6. Step 6: Final answer
    x = 594.12

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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.