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Finding the Fourth Proportional to 561.22, 772.14 and 494.54

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Solution

The fourth proportional to 561.22, 772.14 and 494.54 is: 680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 772.14 = 494.54 : x
  2. Step 2: Convert to fraction form
    561.22/772.14 = 494.54/x
  3. Step 3: Cross multiply
    561.22x = 772.14 × 494.54
  4. Step 4: Simplify right side
    561.22x = 381,854.12
  5. Step 5: Solve for x
    x = 381,854.12/561.22
  6. Step 6: Final answer
    x = 680.40

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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.