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Finding the Fourth Proportional to 328.86, 493.17 and 97.77

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Solution

The fourth proportional to 328.86, 493.17 and 97.77 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.86 : 493.17 = 97.77 : x
  2. Step 2: Convert to fraction form
    328.86/493.17 = 97.77/x
  3. Step 3: Cross multiply
    328.86x = 493.17 × 97.77
  4. Step 4: Simplify right side
    328.86x = 48,217.23
  5. Step 5: Solve for x
    x = 48,217.23/328.86
  6. Step 6: Final answer
    x = 146.62

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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.