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Finding the Fourth Proportional to 648.49, 971.44 and 301.35

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Solution

The fourth proportional to 648.49, 971.44 and 301.35 is: 451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.49 : 971.44 = 301.35 : x
  2. Step 2: Convert to fraction form
    648.49/971.44 = 301.35/x
  3. Step 3: Cross multiply
    648.49x = 971.44 × 301.35
  4. Step 4: Simplify right side
    648.49x = 292,741.94
  5. Step 5: Solve for x
    x = 292,741.94/648.49
  6. Step 6: Final answer
    x = 451.42

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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.