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Finding the Fourth Proportional to 329.60, 455.21 and 219.58

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Solution

The fourth proportional to 329.60, 455.21 and 219.58 is: 303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 455.21 = 219.58 : x
  2. Step 2: Convert to fraction form
    329.60/455.21 = 219.58/x
  3. Step 3: Cross multiply
    329.60x = 455.21 × 219.58
  4. Step 4: Simplify right side
    329.60x = 99,955.01
  5. Step 5: Solve for x
    x = 99,955.01/329.60
  6. Step 6: Final answer
    x = 303.26

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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.