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Finding the Fourth Proportional to 339.46, 467.40 and 265.66

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Solution

The fourth proportional to 339.46, 467.40 and 265.66 is: 365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.46 : 467.40 = 265.66 : x
  2. Step 2: Convert to fraction form
    339.46/467.40 = 265.66/x
  3. Step 3: Cross multiply
    339.46x = 467.40 × 265.66
  4. Step 4: Simplify right side
    339.46x = 124,169.48
  5. Step 5: Solve for x
    x = 124,169.48/339.46
  6. Step 6: Final answer
    x = 365.79

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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.