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Finding the Fourth Proportional to 519.80, 716.18 and 344.84

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Solution

The fourth proportional to 519.80, 716.18 and 344.84 is: 475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 716.18 = 344.84 : x
  2. Step 2: Convert to fraction form
    519.80/716.18 = 344.84/x
  3. Step 3: Cross multiply
    519.80x = 716.18 × 344.84
  4. Step 4: Simplify right side
    519.80x = 246,962.21
  5. Step 5: Solve for x
    x = 246,962.21/519.80
  6. Step 6: Final answer
    x = 475.11

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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.