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Finding the Fourth Proportional to 648.18, 971.87 and 301.31

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Solution

The fourth proportional to 648.18, 971.87 and 301.31 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 971.87 = 301.31 : x
  2. Step 2: Convert to fraction form
    648.18/971.87 = 301.31/x
  3. Step 3: Cross multiply
    648.18x = 971.87 × 301.31
  4. Step 4: Simplify right side
    648.18x = 292,827.78
  5. Step 5: Solve for x
    x = 292,827.78/648.18
  6. Step 6: Final answer
    x = 451.77

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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.