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Finding the Fourth Proportional to 648.17, 971.61 and 257.94

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Solution

The fourth proportional to 648.17, 971.61 and 257.94 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.17 : 971.61 = 257.94 : x
  2. Step 2: Convert to fraction form
    648.17/971.61 = 257.94/x
  3. Step 3: Cross multiply
    648.17x = 971.61 × 257.94
  4. Step 4: Simplify right side
    648.17x = 250,617.08
  5. Step 5: Solve for x
    x = 250,617.08/648.17
  6. Step 6: Final answer
    x = 386.65

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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.