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Finding the Fourth Proportional to 349.06, 522.91 and 239.36

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Solution

The fourth proportional to 349.06, 522.91 and 239.36 is: 358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 522.91 = 239.36 : x
  2. Step 2: Convert to fraction form
    349.06/522.91 = 239.36/x
  3. Step 3: Cross multiply
    349.06x = 522.91 × 239.36
  4. Step 4: Simplify right side
    349.06x = 125,162.13
  5. Step 5: Solve for x
    x = 125,162.13/349.06
  6. Step 6: Final answer
    x = 358.57

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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.