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Finding the Fourth Proportional to 582.08, 872.87 and 273.39

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Solution

The fourth proportional to 582.08, 872.87 and 273.39 is: 409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 872.87 = 273.39 : x
  2. Step 2: Convert to fraction form
    582.08/872.87 = 273.39/x
  3. Step 3: Cross multiply
    582.08x = 872.87 × 273.39
  4. Step 4: Simplify right side
    582.08x = 238,629.29
  5. Step 5: Solve for x
    x = 238,629.29/582.08
  6. Step 6: Final answer
    x = 409.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.