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Finding the Fourth Proportional to 329.64, 455.10 and 213.42

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Solution

The fourth proportional to 329.64, 455.10 and 213.42 is: 294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.64 : 455.10 = 213.42 : x
  2. Step 2: Convert to fraction form
    329.64/455.10 = 213.42/x
  3. Step 3: Cross multiply
    329.64x = 455.10 × 213.42
  4. Step 4: Simplify right side
    329.64x = 97,127.44
  5. Step 5: Solve for x
    x = 97,127.44/329.64
  6. Step 6: Final answer
    x = 294.65

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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.