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Finding the Fourth Proportional to 648.06, 971.44 and 257.86

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Solution

The fourth proportional to 648.06, 971.44 and 257.86 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 971.44 = 257.86 : x
  2. Step 2: Convert to fraction form
    648.06/971.44 = 257.86/x
  3. Step 3: Cross multiply
    648.06x = 971.44 × 257.86
  4. Step 4: Simplify right side
    648.06x = 250,495.52
  5. Step 5: Solve for x
    x = 250,495.52/648.06
  6. Step 6: Final answer
    x = 386.53

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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.