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Finding the Fourth Proportional to 449.22, 676.89 and 369.84

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Solution

The fourth proportional to 449.22, 676.89 and 369.84 is: 557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.22 : 676.89 = 369.84 : x
  2. Step 2: Convert to fraction form
    449.22/676.89 = 369.84/x
  3. Step 3: Cross multiply
    449.22x = 676.89 × 369.84
  4. Step 4: Simplify right side
    449.22x = 250,341.00
  5. Step 5: Solve for x
    x = 250,341.00/449.22
  6. Step 6: Final answer
    x = 557.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.