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Finding the Fourth Proportional to 519.47, 716.50 and 351.51

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Solution

The fourth proportional to 519.47, 716.50 and 351.51 is: 484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.47 : 716.50 = 351.51 : x
  2. Step 2: Convert to fraction form
    519.47/716.50 = 351.51/x
  3. Step 3: Cross multiply
    519.47x = 716.50 × 351.51
  4. Step 4: Simplify right side
    519.47x = 251,856.92
  5. Step 5: Solve for x
    x = 251,856.92/519.47
  6. Step 6: Final answer
    x = 484.83

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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.