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Finding the Fourth Proportional to 329.78, 454.87 and 213.32

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Solution

The fourth proportional to 329.78, 454.87 and 213.32 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 454.87 = 213.32 : x
  2. Step 2: Convert to fraction form
    329.78/454.87 = 213.32/x
  3. Step 3: Cross multiply
    329.78x = 454.87 × 213.32
  4. Step 4: Simplify right side
    329.78x = 97,032.87
  5. Step 5: Solve for x
    x = 97,032.87/329.78
  6. Step 6: Final answer
    x = 294.24

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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.