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Finding the Fourth Proportional to 348.80, 522.55 and 239.11

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Solution

The fourth proportional to 348.80, 522.55 and 239.11 is: 358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 522.55 = 239.11 : x
  2. Step 2: Convert to fraction form
    348.80/522.55 = 239.11/x
  3. Step 3: Cross multiply
    348.80x = 522.55 × 239.11
  4. Step 4: Simplify right side
    348.80x = 124,945.92
  5. Step 5: Solve for x
    x = 124,945.92/348.80
  6. Step 6: Final answer
    x = 358.22

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Why These Related Problems?

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