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Finding the Fourth Proportional to 372.58, 514.05 and 225.25

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Solution

The fourth proportional to 372.58, 514.05 and 225.25 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.58 : 514.05 = 225.25 : x
  2. Step 2: Convert to fraction form
    372.58/514.05 = 225.25/x
  3. Step 3: Cross multiply
    372.58x = 514.05 × 225.25
  4. Step 4: Simplify right side
    372.58x = 115,789.76
  5. Step 5: Solve for x
    x = 115,789.76/372.58
  6. Step 6: Final answer
    x = 310.78

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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.