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Finding the Fourth Proportional to 650.56, 976.64 and 446.44

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Solution

The fourth proportional to 650.56, 976.64 and 446.44 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.56 : 976.64 = 446.44 : x
  2. Step 2: Convert to fraction form
    650.56/976.64 = 446.44/x
  3. Step 3: Cross multiply
    650.56x = 976.64 × 446.44
  4. Step 4: Simplify right side
    650.56x = 436,011.16
  5. Step 5: Solve for x
    x = 436,011.16/650.56
  6. Step 6: Final answer
    x = 670.21

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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.