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Finding the Fourth Proportional to 648.32, 971.78 and 301.91

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Solution

The fourth proportional to 648.32, 971.78 and 301.91 is: 452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 971.78 = 301.91 : x
  2. Step 2: Convert to fraction form
    648.32/971.78 = 301.91/x
  3. Step 3: Cross multiply
    648.32x = 971.78 × 301.91
  4. Step 4: Simplify right side
    648.32x = 293,383.73
  5. Step 5: Solve for x
    x = 293,383.73/648.32
  6. Step 6: Final answer
    x = 452.53

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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.