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Finding the Fourth Proportional to 365.47, 503.82 and 225.49

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Solution

The fourth proportional to 365.47, 503.82 and 225.49 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.47 : 503.82 = 225.49 : x
  2. Step 2: Convert to fraction form
    365.47/503.82 = 225.49/x
  3. Step 3: Cross multiply
    365.47x = 503.82 × 225.49
  4. Step 4: Simplify right side
    365.47x = 113,605.46
  5. Step 5: Solve for x
    x = 113,605.46/365.47
  6. Step 6: Final answer
    x = 310.85

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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.