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Finding the Fourth Proportional to 341.52, 470.97 and 229.74

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Solution

The fourth proportional to 341.52, 470.97 and 229.74 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 470.97 = 229.74 : x
  2. Step 2: Convert to fraction form
    341.52/470.97 = 229.74/x
  3. Step 3: Cross multiply
    341.52x = 470.97 × 229.74
  4. Step 4: Simplify right side
    341.52x = 108,201.51
  5. Step 5: Solve for x
    x = 108,201.51/341.52
  6. Step 6: Final answer
    x = 316.82

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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.