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Finding the Fourth Proportional to 372.86, 559.69 and 275.05

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Solution

The fourth proportional to 372.86, 559.69 and 275.05 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.86 : 559.69 = 275.05 : x
  2. Step 2: Convert to fraction form
    372.86/559.69 = 275.05/x
  3. Step 3: Cross multiply
    372.86x = 559.69 × 275.05
  4. Step 4: Simplify right side
    372.86x = 153,942.73
  5. Step 5: Solve for x
    x = 153,942.73/372.86
  6. Step 6: Final answer
    x = 412.88

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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.