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Finding the Fourth Proportional to 343.69, 474.39 and 231.64

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Solution

The fourth proportional to 343.69, 474.39 and 231.64 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 474.39 = 231.64 : x
  2. Step 2: Convert to fraction form
    343.69/474.39 = 231.64/x
  3. Step 3: Cross multiply
    343.69x = 474.39 × 231.64
  4. Step 4: Simplify right side
    343.69x = 109,886.92
  5. Step 5: Solve for x
    x = 109,886.92/343.69
  6. Step 6: Final answer
    x = 319.72

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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.