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Finding the Fourth Proportional to 582.52, 873.93 and 217.31

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Solution

The fourth proportional to 582.52, 873.93 and 217.31 is: 326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 873.93 = 217.31 : x
  2. Step 2: Convert to fraction form
    582.52/873.93 = 217.31/x
  3. Step 3: Cross multiply
    582.52x = 873.93 × 217.31
  4. Step 4: Simplify right side
    582.52x = 189,916.73
  5. Step 5: Solve for x
    x = 189,916.73/582.52
  6. Step 6: Final answer
    x = 326.03

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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.