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Finding the Fourth Proportional to 519.42, 717.74 and 379.96

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Solution

The fourth proportional to 519.42, 717.74 and 379.96 is: 525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.42 : 717.74 = 379.96 : x
  2. Step 2: Convert to fraction form
    519.42/717.74 = 379.96/x
  3. Step 3: Cross multiply
    519.42x = 717.74 × 379.96
  4. Step 4: Simplify right side
    519.42x = 272,712.49
  5. Step 5: Solve for x
    x = 272,712.49/519.42
  6. Step 6: Final answer
    x = 525.03

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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.