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Finding the Fourth Proportional to 582.73, 874.40 and 217.52

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Solution

The fourth proportional to 582.73, 874.40 and 217.52 is: 326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.73 : 874.40 = 217.52 : x
  2. Step 2: Convert to fraction form
    582.73/874.40 = 217.52/x
  3. Step 3: Cross multiply
    582.73x = 874.40 × 217.52
  4. Step 4: Simplify right side
    582.73x = 190,199.49
  5. Step 5: Solve for x
    x = 190,199.49/582.73
  6. Step 6: Final answer
    x = 326.39

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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.