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Finding the Fourth Proportional to 519.07, 716.32 and 286.19

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Solution

The fourth proportional to 519.07, 716.32 and 286.19 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.07 : 716.32 = 286.19 : x
  2. Step 2: Convert to fraction form
    519.07/716.32 = 286.19/x
  3. Step 3: Cross multiply
    519.07x = 716.32 × 286.19
  4. Step 4: Simplify right side
    519.07x = 205,003.62
  5. Step 5: Solve for x
    x = 205,003.62/519.07
  6. Step 6: Final answer
    x = 394.94

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Double scale
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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.