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Finding the Fourth Proportional to 328.86, 493.13 and 213.36

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Solution

The fourth proportional to 328.86, 493.13 and 213.36 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.86 : 493.13 = 213.36 : x
  2. Step 2: Convert to fraction form
    328.86/493.13 = 213.36/x
  3. Step 3: Cross multiply
    328.86x = 493.13 × 213.36
  4. Step 4: Simplify right side
    328.86x = 105,213.15
  5. Step 5: Solve for x
    x = 105,213.15/328.86
  6. Step 6: Final answer
    x = 319.93

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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.