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Finding the Fourth Proportional to 519.53, 717.69 and 415.31

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Solution

The fourth proportional to 519.53, 717.69 and 415.31 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 717.69 = 415.31 : x
  2. Step 2: Convert to fraction form
    519.53/717.69 = 415.31/x
  3. Step 3: Cross multiply
    519.53x = 717.69 × 415.31
  4. Step 4: Simplify right side
    519.53x = 298,063.83
  5. Step 5: Solve for x
    x = 298,063.83/519.53
  6. Step 6: Final answer
    x = 573.72

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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.