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Finding the Fourth Proportional to 449.86, 616.76 and 441.64

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Solution

The fourth proportional to 449.86, 616.76 and 441.64 is: 605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.86 : 616.76 = 441.64 : x
  2. Step 2: Convert to fraction form
    449.86/616.76 = 441.64/x
  3. Step 3: Cross multiply
    449.86x = 616.76 × 441.64
  4. Step 4: Simplify right side
    449.86x = 272,385.89
  5. Step 5: Solve for x
    x = 272,385.89/449.86
  6. Step 6: Final answer
    x = 605.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.