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Finding the Fourth Proportional to 519.32, 716.64 and 286.46

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Solution

The fourth proportional to 519.32, 716.64 and 286.46 is: 395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 716.64 = 286.46 : x
  2. Step 2: Convert to fraction form
    519.32/716.64 = 286.46/x
  3. Step 3: Cross multiply
    519.32x = 716.64 × 286.46
  4. Step 4: Simplify right side
    519.32x = 205,288.69
  5. Step 5: Solve for x
    x = 205,288.69/519.32
  6. Step 6: Final answer
    x = 395.30

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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.