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Finding the Fourth Proportional to 328.96, 493.30 and 199.01

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Solution

The fourth proportional to 328.96, 493.30 and 199.01 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 493.30 = 199.01 : x
  2. Step 2: Convert to fraction form
    328.96/493.30 = 199.01/x
  3. Step 3: Cross multiply
    328.96x = 493.30 × 199.01
  4. Step 4: Simplify right side
    328.96x = 98,171.63
  5. Step 5: Solve for x
    x = 98,171.63/328.96
  6. Step 6: Final answer
    x = 298.43

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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.