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Finding the Fourth Proportional to 341.48, 471.39 and 231.02

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Solution

The fourth proportional to 341.48, 471.39 and 231.02 is: 318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 471.39 = 231.02 : x
  2. Step 2: Convert to fraction form
    341.48/471.39 = 231.02/x
  3. Step 3: Cross multiply
    341.48x = 471.39 × 231.02
  4. Step 4: Simplify right side
    341.48x = 108,900.52
  5. Step 5: Solve for x
    x = 108,900.52/341.48
  6. Step 6: Final answer
    x = 318.91

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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.