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Finding the Fourth Proportional to 328.96, 495.19 and 299.20

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Solution

The fourth proportional to 328.96, 495.19 and 299.20 is: 450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.96 : 495.19 = 299.20 : x
  2. Step 2: Convert to fraction form
    328.96/495.19 = 299.20/x
  3. Step 3: Cross multiply
    328.96x = 495.19 × 299.20
  4. Step 4: Simplify right side
    328.96x = 148,160.85
  5. Step 5: Solve for x
    x = 148,160.85/328.96
  6. Step 6: Final answer
    x = 450.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.