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Finding the Fourth Proportional to 647.97, 971.92 and 257.91

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Solution

The fourth proportional to 647.97, 971.92 and 257.91 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.97 : 971.92 = 257.91 : x
  2. Step 2: Convert to fraction form
    647.97/971.92 = 257.91/x
  3. Step 3: Cross multiply
    647.97x = 971.92 × 257.91
  4. Step 4: Simplify right side
    647.97x = 250,667.89
  5. Step 5: Solve for x
    x = 250,667.89/647.97
  6. Step 6: Final answer
    x = 386.85

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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.