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Finding the Fourth Proportional to 557.08, 835.89 and 268.54

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Solution

The fourth proportional to 557.08, 835.89 and 268.54 is: 402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.08 : 835.89 = 268.54 : x
  2. Step 2: Convert to fraction form
    557.08/835.89 = 268.54/x
  3. Step 3: Cross multiply
    557.08x = 835.89 × 268.54
  4. Step 4: Simplify right side
    557.08x = 224,469.90
  5. Step 5: Solve for x
    x = 224,469.90/557.08
  6. Step 6: Final answer
    x = 402.94

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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.