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Finding the Fourth Proportional to 650.34, 977.81 and 342.81

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Solution

The fourth proportional to 650.34, 977.81 and 342.81 is: 515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 977.81 = 342.81 : x
  2. Step 2: Convert to fraction form
    650.34/977.81 = 342.81/x
  3. Step 3: Cross multiply
    650.34x = 977.81 × 342.81
  4. Step 4: Simplify right side
    650.34x = 335,201.33
  5. Step 5: Solve for x
    x = 335,201.33/650.34
  6. Step 6: Final answer
    x = 515.42

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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.