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Finding the Fourth Proportional to 398, 596.78 and 224.62

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Solution

The fourth proportional to 398, 596.78 and 224.62 is: 336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398 : 596.78 = 224.62 : x
  2. Step 2: Convert to fraction form
    398/596.78 = 224.62/x
  3. Step 3: Cross multiply
    398x = 596.78 × 224.62
  4. Step 4: Simplify right side
    398x = 134,048.72
  5. Step 5: Solve for x
    x = 134,048.72/398
  6. Step 6: Final answer
    x = 336.81

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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.