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Finding the Fourth Proportional to 650.09, 975.19 and 217.31

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Solution

The fourth proportional to 650.09, 975.19 and 217.31 is: 325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.09 : 975.19 = 217.31 : x
  2. Step 2: Convert to fraction form
    650.09/975.19 = 217.31/x
  3. Step 3: Cross multiply
    650.09x = 975.19 × 217.31
  4. Step 4: Simplify right side
    650.09x = 211,913.12
  5. Step 5: Solve for x
    x = 211,913.12/650.09
  6. Step 6: Final answer
    x = 325.98

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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.