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Finding the Fourth Proportional to 341.91, 471.87 and 231.63

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Solution

The fourth proportional to 341.91, 471.87 and 231.63 is: 319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.91 : 471.87 = 231.63 : x
  2. Step 2: Convert to fraction form
    341.91/471.87 = 231.63/x
  3. Step 3: Cross multiply
    341.91x = 471.87 × 231.63
  4. Step 4: Simplify right side
    341.91x = 109,299.25
  5. Step 5: Solve for x
    x = 109,299.25/341.91
  6. Step 6: Final answer
    x = 319.67

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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.