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Finding the Fourth Proportional to 648.06, 971.66 and 323.22

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Solution

The fourth proportional to 648.06, 971.66 and 323.22 is: 484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 971.66 = 323.22 : x
  2. Step 2: Convert to fraction form
    648.06/971.66 = 323.22/x
  3. Step 3: Cross multiply
    648.06x = 971.66 × 323.22
  4. Step 4: Simplify right side
    648.06x = 314,059.95
  5. Step 5: Solve for x
    x = 314,059.95/648.06
  6. Step 6: Final answer
    x = 484.62

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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.