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Finding the Fourth Proportional to 363.04, 500.88 and 225.12

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Solution

The fourth proportional to 363.04, 500.88 and 225.12 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 500.88 = 225.12 : x
  2. Step 2: Convert to fraction form
    363.04/500.88 = 225.12/x
  3. Step 3: Cross multiply
    363.04x = 500.88 × 225.12
  4. Step 4: Simplify right side
    363.04x = 112,758.11
  5. Step 5: Solve for x
    x = 112,758.11/363.04
  6. Step 6: Final answer
    x = 310.59

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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.