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Finding the Fourth Proportional to 519.29, 716.62 and 286.42

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Solution

The fourth proportional to 519.29, 716.62 and 286.42 is: 395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.29 : 716.62 = 286.42 : x
  2. Step 2: Convert to fraction form
    519.29/716.62 = 286.42/x
  3. Step 3: Cross multiply
    519.29x = 716.62 × 286.42
  4. Step 4: Simplify right side
    519.29x = 205,254.30
  5. Step 5: Solve for x
    x = 205,254.30/519.29
  6. Step 6: Final answer
    x = 395.26

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Why These Related Problems?

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