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Finding the Fourth Proportional to 519.74, 717.33 and 353.84

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Solution

The fourth proportional to 519.74, 717.33 and 353.84 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.74 : 717.33 = 353.84 : x
  2. Step 2: Convert to fraction form
    519.74/717.33 = 353.84/x
  3. Step 3: Cross multiply
    519.74x = 717.33 × 353.84
  4. Step 4: Simplify right side
    519.74x = 253,820.05
  5. Step 5: Solve for x
    x = 253,820.05/519.74
  6. Step 6: Final answer
    x = 488.36

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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.