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Finding the Fourth Proportional to 339.02, 467.13 and 301.78

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Solution

The fourth proportional to 339.02, 467.13 and 301.78 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.02 : 467.13 = 301.78 : x
  2. Step 2: Convert to fraction form
    339.02/467.13 = 301.78/x
  3. Step 3: Cross multiply
    339.02x = 467.13 × 301.78
  4. Step 4: Simplify right side
    339.02x = 140,969.32
  5. Step 5: Solve for x
    x = 140,969.32/339.02
  6. Step 6: Final answer
    x = 415.82

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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.