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Finding the Fourth Proportional to 579.82, 800.15 and 372.82

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Solution

The fourth proportional to 579.82, 800.15 and 372.82 is: 514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.82 : 800.15 = 372.82 : x
  2. Step 2: Convert to fraction form
    579.82/800.15 = 372.82/x
  3. Step 3: Cross multiply
    579.82x = 800.15 × 372.82
  4. Step 4: Simplify right side
    579.82x = 298,311.92
  5. Step 5: Solve for x
    x = 298,311.92/579.82
  6. Step 6: Final answer
    x = 514.49

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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.