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Finding the Fourth Proportional to 650.79, 976.49 and 407.18

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Solution

The fourth proportional to 650.79, 976.49 and 407.18 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.79 : 976.49 = 407.18 : x
  2. Step 2: Convert to fraction form
    650.79/976.49 = 407.18/x
  3. Step 3: Cross multiply
    650.79x = 976.49 × 407.18
  4. Step 4: Simplify right side
    650.79x = 397,609.13
  5. Step 5: Solve for x
    x = 397,609.13/650.79
  6. Step 6: Final answer
    x = 610.96

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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.