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Finding the Fourth Proportional to 341.71, 471.37 and 229.72

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Solution

The fourth proportional to 341.71, 471.37 and 229.72 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.71 : 471.37 = 229.72 : x
  2. Step 2: Convert to fraction form
    341.71/471.37 = 229.72/x
  3. Step 3: Cross multiply
    341.71x = 471.37 × 229.72
  4. Step 4: Simplify right side
    341.71x = 108,283.12
  5. Step 5: Solve for x
    x = 108,283.12/341.71
  6. Step 6: Final answer
    x = 316.89

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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.