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Finding the Fourth Proportional to 349.36, 522.98 and 227.38

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Solution

The fourth proportional to 349.36, 522.98 and 227.38 is: 340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.36 : 522.98 = 227.38 : x
  2. Step 2: Convert to fraction form
    349.36/522.98 = 227.38/x
  3. Step 3: Cross multiply
    349.36x = 522.98 × 227.38
  4. Step 4: Simplify right side
    349.36x = 118,915.19
  5. Step 5: Solve for x
    x = 118,915.19/349.36
  6. Step 6: Final answer
    x = 340.38

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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.