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Finding the Fourth Proportional to 340.97, 470.87 and 230.87

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Solution

The fourth proportional to 340.97, 470.87 and 230.87 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.97 : 470.87 = 230.87 : x
  2. Step 2: Convert to fraction form
    340.97/470.87 = 230.87/x
  3. Step 3: Cross multiply
    340.97x = 470.87 × 230.87
  4. Step 4: Simplify right side
    340.97x = 108,706.25
  5. Step 5: Solve for x
    x = 108,706.25/340.97
  6. Step 6: Final answer
    x = 318.82

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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.