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Finding the Fourth Proportional to 575.99, 863.72 and 185.91

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Solution

The fourth proportional to 575.99, 863.72 and 185.91 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.99 : 863.72 = 185.91 : x
  2. Step 2: Convert to fraction form
    575.99/863.72 = 185.91/x
  3. Step 3: Cross multiply
    575.99x = 863.72 × 185.91
  4. Step 4: Simplify right side
    575.99x = 160,573.26
  5. Step 5: Solve for x
    x = 160,573.26/575.99
  6. Step 6: Final answer
    x = 278.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.