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Finding the Fourth Proportional to 557.96, 836.94 and 269.44

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Solution

The fourth proportional to 557.96, 836.94 and 269.44 is: 404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 836.94 = 269.44 : x
  2. Step 2: Convert to fraction form
    557.96/836.94 = 269.44/x
  3. Step 3: Cross multiply
    557.96x = 836.94 × 269.44
  4. Step 4: Simplify right side
    557.96x = 225,505.11
  5. Step 5: Solve for x
    x = 225,505.11/557.96
  6. Step 6: Final answer
    x = 404.16

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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.