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Finding the Fourth Proportional to 339.68, 465.51 and 339.14

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Solution

The fourth proportional to 339.68, 465.51 and 339.14 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 465.51 = 339.14 : x
  2. Step 2: Convert to fraction form
    339.68/465.51 = 339.14/x
  3. Step 3: Cross multiply
    339.68x = 465.51 × 339.14
  4. Step 4: Simplify right side
    339.68x = 157,870.73
  5. Step 5: Solve for x
    x = 157,870.73/339.68
  6. Step 6: Final answer
    x = 464.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.