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Finding the Fourth Proportional to 269.79, 403.86 and 249.45

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Solution

The fourth proportional to 269.79, 403.86 and 249.45 is: 373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.79 : 403.86 = 249.45 : x
  2. Step 2: Convert to fraction form
    269.79/403.86 = 249.45/x
  3. Step 3: Cross multiply
    269.79x = 403.86 × 249.45
  4. Step 4: Simplify right side
    269.79x = 100,742.88
  5. Step 5: Solve for x
    x = 100,742.88/269.79
  6. Step 6: Final answer
    x = 373.41

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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.