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Finding the Fourth Proportional to 519.30, 716.66 and 298.34

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Solution

The fourth proportional to 519.30, 716.66 and 298.34 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 716.66 = 298.34 : x
  2. Step 2: Convert to fraction form
    519.30/716.66 = 298.34/x
  3. Step 3: Cross multiply
    519.30x = 716.66 × 298.34
  4. Step 4: Simplify right side
    519.30x = 213,803.27
  5. Step 5: Solve for x
    x = 213,803.27/519.30
  6. Step 6: Final answer
    x = 411.71

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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.