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Finding the Fourth Proportional to 339.79, 509.83 and 224.22

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Solution

The fourth proportional to 339.79, 509.83 and 224.22 is: 336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.79 : 509.83 = 224.22 : x
  2. Step 2: Convert to fraction form
    339.79/509.83 = 224.22/x
  3. Step 3: Cross multiply
    339.79x = 509.83 × 224.22
  4. Step 4: Simplify right side
    339.79x = 114,314.08
  5. Step 5: Solve for x
    x = 114,314.08/339.79
  6. Step 6: Final answer
    x = 336.43

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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.