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Finding the Fourth Proportional to 648.12, 972.38 and 226.01

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Solution

The fourth proportional to 648.12, 972.38 and 226.01 is: 339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 972.38 = 226.01 : x
  2. Step 2: Convert to fraction form
    648.12/972.38 = 226.01/x
  3. Step 3: Cross multiply
    648.12x = 972.38 × 226.01
  4. Step 4: Simplify right side
    648.12x = 219,767.60
  5. Step 5: Solve for x
    x = 219,767.60/648.12
  6. Step 6: Final answer
    x = 339.08

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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.