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Finding the Fourth Proportional to 328.78, 493.17 and 155.71

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Solution

The fourth proportional to 328.78, 493.17 and 155.71 is: 233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 493.17 = 155.71 : x
  2. Step 2: Convert to fraction form
    328.78/493.17 = 155.71/x
  3. Step 3: Cross multiply
    328.78x = 493.17 × 155.71
  4. Step 4: Simplify right side
    328.78x = 76,791.50
  5. Step 5: Solve for x
    x = 76,791.50/328.78
  6. Step 6: Final answer
    x = 233.57

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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.