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Finding the Fourth Proportional to 519.86, 717.47 and 395.31

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Solution

The fourth proportional to 519.86, 717.47 and 395.31 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 717.47 = 395.31 : x
  2. Step 2: Convert to fraction form
    519.86/717.47 = 395.31/x
  3. Step 3: Cross multiply
    519.86x = 717.47 × 395.31
  4. Step 4: Simplify right side
    519.86x = 283,621.09
  5. Step 5: Solve for x
    x = 283,621.09/519.86
  6. Step 6: Final answer
    x = 545.58

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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.