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Finding the Fourth Proportional to 329.42, 454.69 and 217.47

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Solution

The fourth proportional to 329.42, 454.69 and 217.47 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.42 : 454.69 = 217.47 : x
  2. Step 2: Convert to fraction form
    329.42/454.69 = 217.47/x
  3. Step 3: Cross multiply
    329.42x = 454.69 × 217.47
  4. Step 4: Simplify right side
    329.42x = 98,881.58
  5. Step 5: Solve for x
    x = 98,881.58/329.42
  6. Step 6: Final answer
    x = 300.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.