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Finding the Fourth Proportional to 519.21, 716.53 and 298.23

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Solution

The fourth proportional to 519.21, 716.53 and 298.23 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 716.53 = 298.23 : x
  2. Step 2: Convert to fraction form
    519.21/716.53 = 298.23/x
  3. Step 3: Cross multiply
    519.21x = 716.53 × 298.23
  4. Step 4: Simplify right side
    519.21x = 213,688.65
  5. Step 5: Solve for x
    x = 213,688.65/519.21
  6. Step 6: Final answer
    x = 411.57

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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.