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Finding the Fourth Proportional to 329.48, 454.78 and 213.02

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Solution

The fourth proportional to 329.48, 454.78 and 213.02 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 454.78 = 213.02 : x
  2. Step 2: Convert to fraction form
    329.48/454.78 = 213.02/x
  3. Step 3: Cross multiply
    329.48x = 454.78 × 213.02
  4. Step 4: Simplify right side
    329.48x = 96,877.24
  5. Step 5: Solve for x
    x = 96,877.24/329.48
  6. Step 6: Final answer
    x = 294.03

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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.