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Finding the Fourth Proportional to 348.30, 522.57 and 218.39

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Solution

The fourth proportional to 348.30, 522.57 and 218.39 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.30 : 522.57 = 218.39 : x
  2. Step 2: Convert to fraction form
    348.30/522.57 = 218.39/x
  3. Step 3: Cross multiply
    348.30x = 522.57 × 218.39
  4. Step 4: Simplify right side
    348.30x = 114,120.36
  5. Step 5: Solve for x
    x = 114,120.36/348.30
  6. Step 6: Final answer
    x = 327.65

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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.