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Finding the Fourth Proportional to 493.85, 680.87 and 405

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Solution

The fourth proportional to 493.85, 680.87 and 405 is: 558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.85 : 680.87 = 405 : x
  2. Step 2: Convert to fraction form
    493.85/680.87 = 405/x
  3. Step 3: Cross multiply
    493.85x = 680.87 × 405
  4. Step 4: Simplify right side
    493.85x = 275,752.35
  5. Step 5: Solve for x
    x = 275,752.35/493.85
  6. Step 6: Final answer
    x = 558.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.