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Finding the Fourth Proportional to 519.90, 717.61 and 298.87

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Solution

The fourth proportional to 519.90, 717.61 and 298.87 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.90 : 717.61 = 298.87 : x
  2. Step 2: Convert to fraction form
    519.90/717.61 = 298.87/x
  3. Step 3: Cross multiply
    519.90x = 717.61 × 298.87
  4. Step 4: Simplify right side
    519.90x = 214,472.10
  5. Step 5: Solve for x
    x = 214,472.10/519.90
  6. Step 6: Final answer
    x = 412.53

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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.