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Finding the Fourth Proportional to 340.33, 506.72 and 338.80

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Solution

The fourth proportional to 340.33, 506.72 and 338.80 is: 504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.33 : 506.72 = 338.80 : x
  2. Step 2: Convert to fraction form
    340.33/506.72 = 338.80/x
  3. Step 3: Cross multiply
    340.33x = 506.72 × 338.80
  4. Step 4: Simplify right side
    340.33x = 171,676.74
  5. Step 5: Solve for x
    x = 171,676.74/340.33
  6. Step 6: Final answer
    x = 504.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.