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Finding the Fourth Proportional to 519.75, 717.35 and 298.71

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Solution

The fourth proportional to 519.75, 717.35 and 298.71 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 717.35 = 298.71 : x
  2. Step 2: Convert to fraction form
    519.75/717.35 = 298.71/x
  3. Step 3: Cross multiply
    519.75x = 717.35 × 298.71
  4. Step 4: Simplify right side
    519.75x = 214,278.12
  5. Step 5: Solve for x
    x = 214,278.12/519.75
  6. Step 6: Final answer
    x = 412.27

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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.