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Finding the Fourth Proportional to 519.23, 716.57 and 298.15

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Solution

The fourth proportional to 519.23, 716.57 and 298.15 is: 411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.23 : 716.57 = 298.15 : x
  2. Step 2: Convert to fraction form
    519.23/716.57 = 298.15/x
  3. Step 3: Cross multiply
    519.23x = 716.57 × 298.15
  4. Step 4: Simplify right side
    519.23x = 213,645.35
  5. Step 5: Solve for x
    x = 213,645.35/519.23
  6. Step 6: Final answer
    x = 411.47

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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.