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Finding the Fourth Proportional to 519.83, 717.35 and 286.95

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Solution

The fourth proportional to 519.83, 717.35 and 286.95 is: 395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.83 : 717.35 = 286.95 : x
  2. Step 2: Convert to fraction form
    519.83/717.35 = 286.95/x
  3. Step 3: Cross multiply
    519.83x = 717.35 × 286.95
  4. Step 4: Simplify right side
    519.83x = 205,844.84
  5. Step 5: Solve for x
    x = 205,844.84/519.83
  6. Step 6: Final answer
    x = 395.99

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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.