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Finding the Fourth Proportional to 365.28, 503.64 and 306.96

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Solution

The fourth proportional to 365.28, 503.64 and 306.96 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 503.64 = 306.96 : x
  2. Step 2: Convert to fraction form
    365.28/503.64 = 306.96/x
  3. Step 3: Cross multiply
    365.28x = 503.64 × 306.96
  4. Step 4: Simplify right side
    365.28x = 154,597.33
  5. Step 5: Solve for x
    x = 154,597.33/365.28
  6. Step 6: Final answer
    x = 423.23

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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.