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Finding the Fourth Proportional to 449.14, 618.40 and 408.13

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Solution

The fourth proportional to 449.14, 618.40 and 408.13 is: 561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 618.40 = 408.13 : x
  2. Step 2: Convert to fraction form
    449.14/618.40 = 408.13/x
  3. Step 3: Cross multiply
    449.14x = 618.40 × 408.13
  4. Step 4: Simplify right side
    449.14x = 252,386.05
  5. Step 5: Solve for x
    x = 252,386.05/449.14
  6. Step 6: Final answer
    x = 561.94

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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.