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Finding the Fourth Proportional to 613.29, 913.73 and 582.30

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Solution

The fourth proportional to 613.29, 913.73 and 582.30 is: 867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.29 : 913.73 = 582.30 : x
  2. Step 2: Convert to fraction form
    613.29/913.73 = 582.30/x
  3. Step 3: Cross multiply
    613.29x = 913.73 × 582.30
  4. Step 4: Simplify right side
    613.29x = 532,067.68
  5. Step 5: Solve for x
    x = 532,067.68/613.29
  6. Step 6: Final answer
    x = 867.57

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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.