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Finding the Fourth Proportional to 343.05, 472.28 and 299.36

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Solution

The fourth proportional to 343.05, 472.28 and 299.36 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.05 : 472.28 = 299.36 : x
  2. Step 2: Convert to fraction form
    343.05/472.28 = 299.36/x
  3. Step 3: Cross multiply
    343.05x = 472.28 × 299.36
  4. Step 4: Simplify right side
    343.05x = 141,377.88
  5. Step 5: Solve for x
    x = 141,377.88/343.05
  6. Step 6: Final answer
    x = 412.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.