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Finding the Fourth Proportional to 339.39, 467.67 and 260.70

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Solution

The fourth proportional to 339.39, 467.67 and 260.70 is: 359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.39 : 467.67 = 260.70 : x
  2. Step 2: Convert to fraction form
    339.39/467.67 = 260.70/x
  3. Step 3: Cross multiply
    339.39x = 467.67 × 260.70
  4. Step 4: Simplify right side
    339.39x = 121,921.57
  5. Step 5: Solve for x
    x = 121,921.57/339.39
  6. Step 6: Final answer
    x = 359.24

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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.