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Finding the Fourth Proportional to 339.66, 467.37 and 292.82

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Solution

The fourth proportional to 339.66, 467.37 and 292.82 is: 402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 467.37 = 292.82 : x
  2. Step 2: Convert to fraction form
    339.66/467.37 = 292.82/x
  3. Step 3: Cross multiply
    339.66x = 467.37 × 292.82
  4. Step 4: Simplify right side
    339.66x = 136,852.95
  5. Step 5: Solve for x
    x = 136,852.95/339.66
  6. Step 6: Final answer
    x = 402.91

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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.