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Finding the Fourth Proportional to 329.24, 493.04 and 213.32

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Solution

The fourth proportional to 329.24, 493.04 and 213.32 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.24 : 493.04 = 213.32 : x
  2. Step 2: Convert to fraction form
    329.24/493.04 = 213.32/x
  3. Step 3: Cross multiply
    329.24x = 493.04 × 213.32
  4. Step 4: Simplify right side
    329.24x = 105,174.23
  5. Step 5: Solve for x
    x = 105,174.23/329.24
  6. Step 6: Final answer
    x = 319.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.