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Finding the Fourth Proportional to 557.14, 835.83 and 268.42

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Solution

The fourth proportional to 557.14, 835.83 and 268.42 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.14 : 835.83 = 268.42 : x
  2. Step 2: Convert to fraction form
    557.14/835.83 = 268.42/x
  3. Step 3: Cross multiply
    557.14x = 835.83 × 268.42
  4. Step 4: Simplify right side
    557.14x = 224,353.49
  5. Step 5: Solve for x
    x = 224,353.49/557.14
  6. Step 6: Final answer
    x = 402.69

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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.