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Finding the Fourth Proportional to 648.44, 972.44 and 301.71

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Solution

The fourth proportional to 648.44, 972.44 and 301.71 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.44 : 972.44 = 301.71 : x
  2. Step 2: Convert to fraction form
    648.44/972.44 = 301.71/x
  3. Step 3: Cross multiply
    648.44x = 972.44 × 301.71
  4. Step 4: Simplify right side
    648.44x = 293,394.87
  5. Step 5: Solve for x
    x = 293,394.87/648.44
  6. Step 6: Final answer
    x = 452.46

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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.