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Finding the Fourth Proportional to 354.68, 531.53 and 267.94

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Solution

The fourth proportional to 354.68, 531.53 and 267.94 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 531.53 = 267.94 : x
  2. Step 2: Convert to fraction form
    354.68/531.53 = 267.94/x
  3. Step 3: Cross multiply
    354.68x = 531.53 × 267.94
  4. Step 4: Simplify right side
    354.68x = 142,418.15
  5. Step 5: Solve for x
    x = 142,418.15/354.68
  6. Step 6: Final answer
    x = 401.54

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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.