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Finding the Fourth Proportional to 328.42, 493.17 and 314.38

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Solution

The fourth proportional to 328.42, 493.17 and 314.38 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.42 : 493.17 = 314.38 : x
  2. Step 2: Convert to fraction form
    328.42/493.17 = 314.38/x
  3. Step 3: Cross multiply
    328.42x = 493.17 × 314.38
  4. Step 4: Simplify right side
    328.42x = 155,042.78
  5. Step 5: Solve for x
    x = 155,042.78/328.42
  6. Step 6: Final answer
    x = 472.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.