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Finding the Fourth Proportional to 388.89, 583.33 and 226.46

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Solution

The fourth proportional to 388.89, 583.33 and 226.46 is: 339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.89 : 583.33 = 226.46 : x
  2. Step 2: Convert to fraction form
    388.89/583.33 = 226.46/x
  3. Step 3: Cross multiply
    388.89x = 583.33 × 226.46
  4. Step 4: Simplify right side
    388.89x = 132,097.43
  5. Step 5: Solve for x
    x = 132,097.43/388.89
  6. Step 6: Final answer
    x = 339.68

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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.