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Finding the Fourth Proportional to 388.94, 584.21 and 226.53

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Solution

The fourth proportional to 388.94, 584.21 and 226.53 is: 340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 584.21 = 226.53 : x
  2. Step 2: Convert to fraction form
    388.94/584.21 = 226.53/x
  3. Step 3: Cross multiply
    388.94x = 584.21 × 226.53
  4. Step 4: Simplify right side
    388.94x = 132,341.66
  5. Step 5: Solve for x
    x = 132,341.66/388.94
  6. Step 6: Final answer
    x = 340.27

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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.