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Finding the Fourth Proportional to 648.80, 972.71 and 324.40

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Solution

The fourth proportional to 648.80, 972.71 and 324.40 is: 486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.80 : 972.71 = 324.40 : x
  2. Step 2: Convert to fraction form
    648.80/972.71 = 324.40/x
  3. Step 3: Cross multiply
    648.80x = 972.71 × 324.40
  4. Step 4: Simplify right side
    648.80x = 315,540.64
  5. Step 5: Solve for x
    x = 315,540.64/648.80
  6. Step 6: Final answer
    x = 486.35

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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.