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Finding the Fourth Proportional to 405.18, 558.99 and 249.66

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Solution

The fourth proportional to 405.18, 558.99 and 249.66 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 558.99 = 249.66 : x
  2. Step 2: Convert to fraction form
    405.18/558.99 = 249.66/x
  3. Step 3: Cross multiply
    405.18x = 558.99 × 249.66
  4. Step 4: Simplify right side
    405.18x = 139,557.44
  5. Step 5: Solve for x
    x = 139,557.44/405.18
  6. Step 6: Final answer
    x = 344.43

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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.