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Finding the Fourth Proportional to 566.31, 846.19 and 449.54

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Solution

The fourth proportional to 566.31, 846.19 and 449.54 is: 671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.31 : 846.19 = 449.54 : x
  2. Step 2: Convert to fraction form
    566.31/846.19 = 449.54/x
  3. Step 3: Cross multiply
    566.31x = 846.19 × 449.54
  4. Step 4: Simplify right side
    566.31x = 380,396.25
  5. Step 5: Solve for x
    x = 380,396.25/566.31
  6. Step 6: Final answer
    x = 671.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.