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Finding the Fourth Proportional to 348.26, 522.63 and 211.37

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Solution

The fourth proportional to 348.26, 522.63 and 211.37 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 522.63 = 211.37 : x
  2. Step 2: Convert to fraction form
    348.26/522.63 = 211.37/x
  3. Step 3: Cross multiply
    348.26x = 522.63 × 211.37
  4. Step 4: Simplify right side
    348.26x = 110,465.69
  5. Step 5: Solve for x
    x = 110,465.69/348.26
  6. Step 6: Final answer
    x = 317.20

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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.