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Finding the Fourth Proportional to 650.04, 975.13 and 217.24

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Solution

The fourth proportional to 650.04, 975.13 and 217.24 is: 325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.04 : 975.13 = 217.24 : x
  2. Step 2: Convert to fraction form
    650.04/975.13 = 217.24/x
  3. Step 3: Cross multiply
    650.04x = 975.13 × 217.24
  4. Step 4: Simplify right side
    650.04x = 211,837.24
  5. Step 5: Solve for x
    x = 211,837.24/650.04
  6. Step 6: Final answer
    x = 325.88

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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.