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Finding the Fourth Proportional to 449.19, 676.04 and 404.46

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Solution

The fourth proportional to 449.19, 676.04 and 404.46 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.19 : 676.04 = 404.46 : x
  2. Step 2: Convert to fraction form
    449.19/676.04 = 404.46/x
  3. Step 3: Cross multiply
    449.19x = 676.04 × 404.46
  4. Step 4: Simplify right side
    449.19x = 273,429.12
  5. Step 5: Solve for x
    x = 273,429.12/449.19
  6. Step 6: Final answer
    x = 608.72

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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.