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Finding the Fourth Proportional to 339.42, 470.36 and 332.94

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Solution

The fourth proportional to 339.42, 470.36 and 332.94 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.42 : 470.36 = 332.94 : x
  2. Step 2: Convert to fraction form
    339.42/470.36 = 332.94/x
  3. Step 3: Cross multiply
    339.42x = 470.36 × 332.94
  4. Step 4: Simplify right side
    339.42x = 156,601.66
  5. Step 5: Solve for x
    x = 156,601.66/339.42
  6. Step 6: Final answer
    x = 461.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.