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Finding the Fourth Proportional to 519.77, 717.30 and 283.73

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Solution

The fourth proportional to 519.77, 717.30 and 283.73 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.77 : 717.30 = 283.73 : x
  2. Step 2: Convert to fraction form
    519.77/717.30 = 283.73/x
  3. Step 3: Cross multiply
    519.77x = 717.30 × 283.73
  4. Step 4: Simplify right side
    519.77x = 203,515.14
  5. Step 5: Solve for x
    x = 203,515.14/519.77
  6. Step 6: Final answer
    x = 391.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.