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Finding the Fourth Proportional to 304.64, 420.24 and 227.20

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Solution

The fourth proportional to 304.64, 420.24 and 227.20 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.64 : 420.24 = 227.20 : x
  2. Step 2: Convert to fraction form
    304.64/420.24 = 227.20/x
  3. Step 3: Cross multiply
    304.64x = 420.24 × 227.20
  4. Step 4: Simplify right side
    304.64x = 95,478.53
  5. Step 5: Solve for x
    x = 95,478.53/304.64
  6. Step 6: Final answer
    x = 313.41

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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.