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Finding the Fourth Proportional to 354.68, 531.66 and 269

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Solution

The fourth proportional to 354.68, 531.66 and 269 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 531.66 = 269 : x
  2. Step 2: Convert to fraction form
    354.68/531.66 = 269/x
  3. Step 3: Cross multiply
    354.68x = 531.66 × 269
  4. Step 4: Simplify right side
    354.68x = 143,016.54
  5. Step 5: Solve for x
    x = 143,016.54/354.68
  6. Step 6: Final answer
    x = 403.23

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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.