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Finding the Fourth Proportional to 351.11, 525.86 and 269.30

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Solution

The fourth proportional to 351.11, 525.86 and 269.30 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.11 : 525.86 = 269.30 : x
  2. Step 2: Convert to fraction form
    351.11/525.86 = 269.30/x
  3. Step 3: Cross multiply
    351.11x = 525.86 × 269.30
  4. Step 4: Simplify right side
    351.11x = 141,612.75
  5. Step 5: Solve for x
    x = 141,612.75/351.11
  6. Step 6: Final answer
    x = 403.33

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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.