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Finding the Fourth Proportional to 650.65, 975.87 and 217.75

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Solution

The fourth proportional to 650.65, 975.87 and 217.75 is: 326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.65 : 975.87 = 217.75 : x
  2. Step 2: Convert to fraction form
    650.65/975.87 = 217.75/x
  3. Step 3: Cross multiply
    650.65x = 975.87 × 217.75
  4. Step 4: Simplify right side
    650.65x = 212,495.69
  5. Step 5: Solve for x
    x = 212,495.69/650.65
  6. Step 6: Final answer
    x = 326.59

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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.