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Finding the Fourth Proportional to 328.85, 493.10 and 97.69

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Solution

The fourth proportional to 328.85, 493.10 and 97.69 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.85 : 493.10 = 97.69 : x
  2. Step 2: Convert to fraction form
    328.85/493.10 = 97.69/x
  3. Step 3: Cross multiply
    328.85x = 493.10 × 97.69
  4. Step 4: Simplify right side
    328.85x = 48,170.94
  5. Step 5: Solve for x
    x = 48,170.94/328.85
  6. Step 6: Final answer
    x = 146.48

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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.