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Finding the Fourth Proportional to 648.15, 972.22 and 388.23

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Solution

The fourth proportional to 648.15, 972.22 and 388.23 is: 582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.15 : 972.22 = 388.23 : x
  2. Step 2: Convert to fraction form
    648.15/972.22 = 388.23/x
  3. Step 3: Cross multiply
    648.15x = 972.22 × 388.23
  4. Step 4: Simplify right side
    648.15x = 377,440.35
  5. Step 5: Solve for x
    x = 377,440.35/648.15
  6. Step 6: Final answer
    x = 582.33

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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.