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Finding the Fourth Proportional to 365.00, 503.63 and 225.23

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Solution

The fourth proportional to 365.00, 503.63 and 225.23 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.00 : 503.63 = 225.23 : x
  2. Step 2: Convert to fraction form
    365.00/503.63 = 225.23/x
  3. Step 3: Cross multiply
    365.00x = 503.63 × 225.23
  4. Step 4: Simplify right side
    365.00x = 113,432.72
  5. Step 5: Solve for x
    x = 113,432.72/365.00
  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.