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Finding the Fourth Proportional to 339.90, 469.29 and 266.09

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Solution

The fourth proportional to 339.90, 469.29 and 266.09 is: 367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.90 : 469.29 = 266.09 : x
  2. Step 2: Convert to fraction form
    339.90/469.29 = 266.09/x
  3. Step 3: Cross multiply
    339.90x = 469.29 × 266.09
  4. Step 4: Simplify right side
    339.90x = 124,872.03
  5. Step 5: Solve for x
    x = 124,872.03/339.90
  6. Step 6: Final answer
    x = 367.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.