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Finding the Fourth Proportional to 348.21, 521.10 and 216.38

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Solution

The fourth proportional to 348.21, 521.10 and 216.38 is: 323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.21 : 521.10 = 216.38 : x
  2. Step 2: Convert to fraction form
    348.21/521.10 = 216.38/x
  3. Step 3: Cross multiply
    348.21x = 521.10 × 216.38
  4. Step 4: Simplify right side
    348.21x = 112,757.73
  5. Step 5: Solve for x
    x = 112,757.73/348.21
  6. Step 6: Final answer
    x = 323.82

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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.