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Finding the Fourth Proportional to 340.97, 511.76 and 219.37

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Solution

The fourth proportional to 340.97, 511.76 and 219.37 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.97 : 511.76 = 219.37 : x
  2. Step 2: Convert to fraction form
    340.97/511.76 = 219.37/x
  3. Step 3: Cross multiply
    340.97x = 511.76 × 219.37
  4. Step 4: Simplify right side
    340.97x = 112,264.79
  5. Step 5: Solve for x
    x = 112,264.79/340.97
  6. Step 6: Final answer
    x = 329.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.