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Finding the Fourth Proportional to 557.74, 835.38 and 449.60

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Solution

The fourth proportional to 557.74, 835.38 and 449.60 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.74 : 835.38 = 449.60 : x
  2. Step 2: Convert to fraction form
    557.74/835.38 = 449.60/x
  3. Step 3: Cross multiply
    557.74x = 835.38 × 449.60
  4. Step 4: Simplify right side
    557.74x = 375,586.85
  5. Step 5: Solve for x
    x = 375,586.85/557.74
  6. Step 6: Final answer
    x = 673.41

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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.