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Finding the Fourth Proportional to 354.61, 531.90 and 211.24

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Solution

The fourth proportional to 354.61, 531.90 and 211.24 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.61 : 531.90 = 211.24 : x
  2. Step 2: Convert to fraction form
    354.61/531.90 = 211.24/x
  3. Step 3: Cross multiply
    354.61x = 531.90 × 211.24
  4. Step 4: Simplify right side
    354.61x = 112,358.56
  5. Step 5: Solve for x
    x = 112,358.56/354.61
  6. Step 6: Final answer
    x = 316.85

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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.