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Finding the Fourth Proportional to 519.75, 717.35 and 298.83

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Solution

The fourth proportional to 519.75, 717.35 and 298.83 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 717.35 = 298.83 : x
  2. Step 2: Convert to fraction form
    519.75/717.35 = 298.83/x
  3. Step 3: Cross multiply
    519.75x = 717.35 × 298.83
  4. Step 4: Simplify right side
    519.75x = 214,368.81
  5. Step 5: Solve for x
    x = 214,368.81/519.75
  6. Step 6: Final answer
    x = 412.44

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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.