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Finding the Fourth Proportional to 648.11, 971.49 and 258.10

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Solution

The fourth proportional to 648.11, 971.49 and 258.10 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.11 : 971.49 = 258.10 : x
  2. Step 2: Convert to fraction form
    648.11/971.49 = 258.10/x
  3. Step 3: Cross multiply
    648.11x = 971.49 × 258.10
  4. Step 4: Simplify right side
    648.11x = 250,741.57
  5. Step 5: Solve for x
    x = 250,741.57/648.11
  6. Step 6: Final answer
    x = 386.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.