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Finding the Fourth Proportional to 339.15, 467.59 and 334.56

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Solution

The fourth proportional to 339.15, 467.59 and 334.56 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.15 : 467.59 = 334.56 : x
  2. Step 2: Convert to fraction form
    339.15/467.59 = 334.56/x
  3. Step 3: Cross multiply
    339.15x = 467.59 × 334.56
  4. Step 4: Simplify right side
    339.15x = 156,435.24
  5. Step 5: Solve for x
    x = 156,435.24/339.15
  6. Step 6: Final answer
    x = 461.26

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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.