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Finding the Fourth Proportional to 354.24, 531.90 and 293.76

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Solution

The fourth proportional to 354.24, 531.90 and 293.76 is: 441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 531.90 = 293.76 : x
  2. Step 2: Convert to fraction form
    354.24/531.90 = 293.76/x
  3. Step 3: Cross multiply
    354.24x = 531.90 × 293.76
  4. Step 4: Simplify right side
    354.24x = 156,250.94
  5. Step 5: Solve for x
    x = 156,250.94/354.24
  6. Step 6: Final answer
    x = 441.09

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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.