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Finding the Fourth Proportional to 329.91, 493.89 and 214.13

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Solution

The fourth proportional to 329.91, 493.89 and 214.13 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 493.89 = 214.13 : x
  2. Step 2: Convert to fraction form
    329.91/493.89 = 214.13/x
  3. Step 3: Cross multiply
    329.91x = 493.89 × 214.13
  4. Step 4: Simplify right side
    329.91x = 105,756.67
  5. Step 5: Solve for x
    x = 105,756.67/329.91
  6. Step 6: Final answer
    x = 320.56

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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.