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Finding the Fourth Proportional to 648, 972.25 and 323.60

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Solution

The fourth proportional to 648, 972.25 and 323.60 is: 485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648 : 972.25 = 323.60 : x
  2. Step 2: Convert to fraction form
    648/972.25 = 323.60/x
  3. Step 3: Cross multiply
    648x = 972.25 × 323.60
  4. Step 4: Simplify right side
    648x = 314,616.25
  5. Step 5: Solve for x
    x = 314,616.25/648
  6. Step 6: Final answer
    x = 485.52

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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.