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Finding the Fourth Proportional to 519.67, 716.96 and 342.97

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Solution

The fourth proportional to 519.67, 716.96 and 342.97 is: 473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.67 : 716.96 = 342.97 : x
  2. Step 2: Convert to fraction form
    519.67/716.96 = 342.97/x
  3. Step 3: Cross multiply
    519.67x = 716.96 × 342.97
  4. Step 4: Simplify right side
    519.67x = 245,892.19
  5. Step 5: Solve for x
    x = 245,892.19/519.67
  6. Step 6: Final answer
    x = 473.17

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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.