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Finding the Fourth Proportional to 519.85, 716.59 and 353.78

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Solution

The fourth proportional to 519.85, 716.59 and 353.78 is: 487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.85 : 716.59 = 353.78 : x
  2. Step 2: Convert to fraction form
    519.85/716.59 = 353.78/x
  3. Step 3: Cross multiply
    519.85x = 716.59 × 353.78
  4. Step 4: Simplify right side
    519.85x = 253,512.77
  5. Step 5: Solve for x
    x = 253,512.77/519.85
  6. Step 6: Final answer
    x = 487.66

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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.