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Finding the Fourth Proportional to 650.99, 976.70 and 407.22

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Solution

The fourth proportional to 650.99, 976.70 and 407.22 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.99 : 976.70 = 407.22 : x
  2. Step 2: Convert to fraction form
    650.99/976.70 = 407.22/x
  3. Step 3: Cross multiply
    650.99x = 976.70 × 407.22
  4. Step 4: Simplify right side
    650.99x = 397,732.79
  5. Step 5: Solve for x
    x = 397,732.79/650.99
  6. Step 6: Final answer
    x = 610.97

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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.