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Finding the Fourth Proportional to 557.77, 836.94 and 249.85

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Solution

The fourth proportional to 557.77, 836.94 and 249.85 is: 374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.77 : 836.94 = 249.85 : x
  2. Step 2: Convert to fraction form
    557.77/836.94 = 249.85/x
  3. Step 3: Cross multiply
    557.77x = 836.94 × 249.85
  4. Step 4: Simplify right side
    557.77x = 209,109.46
  5. Step 5: Solve for x
    x = 209,109.46/557.77
  6. Step 6: Final answer
    x = 374.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.