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Finding the Fourth Proportional to 339.72, 508.71 and 209.33

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Solution

The fourth proportional to 339.72, 508.71 and 209.33 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 508.71 = 209.33 : x
  2. Step 2: Convert to fraction form
    339.72/508.71 = 209.33/x
  3. Step 3: Cross multiply
    339.72x = 508.71 × 209.33
  4. Step 4: Simplify right side
    339.72x = 106,488.26
  5. Step 5: Solve for x
    x = 106,488.26/339.72
  6. Step 6: Final answer
    x = 313.46

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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.