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Finding the Fourth Proportional to 358.32, 494.16 and 227.28

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Solution

The fourth proportional to 358.32, 494.16 and 227.28 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.32 : 494.16 = 227.28 : x
  2. Step 2: Convert to fraction form
    358.32/494.16 = 227.28/x
  3. Step 3: Cross multiply
    358.32x = 494.16 × 227.28
  4. Step 4: Simplify right side
    358.32x = 112,312.68
  5. Step 5: Solve for x
    x = 112,312.68/358.32
  6. Step 6: Final answer
    x = 313.44

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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.