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Finding the Fourth Proportional to 649.94, 975.21 and 325.52

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Solution

The fourth proportional to 649.94, 975.21 and 325.52 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.94 : 975.21 = 325.52 : x
  2. Step 2: Convert to fraction form
    649.94/975.21 = 325.52/x
  3. Step 3: Cross multiply
    649.94x = 975.21 × 325.52
  4. Step 4: Simplify right side
    649.94x = 317,450.36
  5. Step 5: Solve for x
    x = 317,450.36/649.94
  6. Step 6: Final answer
    x = 488.43

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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.