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Finding the Fourth Proportional to 341.29, 471.14 and 230.83

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Solution

The fourth proportional to 341.29, 471.14 and 230.83 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.29 : 471.14 = 230.83 : x
  2. Step 2: Convert to fraction form
    341.29/471.14 = 230.83/x
  3. Step 3: Cross multiply
    341.29x = 471.14 × 230.83
  4. Step 4: Simplify right side
    341.29x = 108,753.25
  5. Step 5: Solve for x
    x = 108,753.25/341.29
  6. Step 6: Final answer
    x = 318.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.