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Finding the Fourth Proportional to 329.77, 454.97 and 219.26

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Solution

The fourth proportional to 329.77, 454.97 and 219.26 is: 302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 454.97 = 219.26 : x
  2. Step 2: Convert to fraction form
    329.77/454.97 = 219.26/x
  3. Step 3: Cross multiply
    329.77x = 454.97 × 219.26
  4. Step 4: Simplify right side
    329.77x = 99,756.70
  5. Step 5: Solve for x
    x = 99,756.70/329.77
  6. Step 6: Final answer
    x = 302.51

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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.