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Finding the Fourth Proportional to 307.36, 423.72 and 228.56

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Solution

The fourth proportional to 307.36, 423.72 and 228.56 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.36 : 423.72 = 228.56 : x
  2. Step 2: Convert to fraction form
    307.36/423.72 = 228.56/x
  3. Step 3: Cross multiply
    307.36x = 423.72 × 228.56
  4. Step 4: Simplify right side
    307.36x = 96,845.44
  5. Step 5: Solve for x
    x = 96,845.44/307.36
  6. Step 6: Final answer
    x = 315.09

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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.