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Finding the Fourth Proportional to 582.80, 873.43 and 217.22

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Solution

The fourth proportional to 582.80, 873.43 and 217.22 is: 325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 873.43 = 217.22 : x
  2. Step 2: Convert to fraction form
    582.80/873.43 = 217.22/x
  3. Step 3: Cross multiply
    582.80x = 873.43 × 217.22
  4. Step 4: Simplify right side
    582.80x = 189,725.38
  5. Step 5: Solve for x
    x = 189,725.38/582.80
  6. Step 6: Final answer
    x = 325.54

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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.