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Finding the Fourth Proportional to 341.64, 471.40 and 230.94

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Solution

The fourth proportional to 341.64, 471.40 and 230.94 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 471.40 = 230.94 : x
  2. Step 2: Convert to fraction form
    341.64/471.40 = 230.94/x
  3. Step 3: Cross multiply
    341.64x = 471.40 × 230.94
  4. Step 4: Simplify right side
    341.64x = 108,865.12
  5. Step 5: Solve for x
    x = 108,865.12/341.64
  6. Step 6: Final answer
    x = 318.65

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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.