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Finding the Fourth Proportional to 339.01, 467.63 and 214.45

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Solution

The fourth proportional to 339.01, 467.63 and 214.45 is: 295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.01 : 467.63 = 214.45 : x
  2. Step 2: Convert to fraction form
    339.01/467.63 = 214.45/x
  3. Step 3: Cross multiply
    339.01x = 467.63 × 214.45
  4. Step 4: Simplify right side
    339.01x = 100,282.18
  5. Step 5: Solve for x
    x = 100,282.18/339.01
  6. Step 6: Final answer
    x = 295.81

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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.