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Finding the Fourth Proportional to 648.02, 971.61 and 262.82

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Solution

The fourth proportional to 648.02, 971.61 and 262.82 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 971.61 = 262.82 : x
  2. Step 2: Convert to fraction form
    648.02/971.61 = 262.82/x
  3. Step 3: Cross multiply
    648.02x = 971.61 × 262.82
  4. Step 4: Simplify right side
    648.02x = 255,358.54
  5. Step 5: Solve for x
    x = 255,358.54/648.02
  6. Step 6: Final answer
    x = 394.06

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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.