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Finding the Fourth Proportional to 358.54, 494.58 and 227.32

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Solution

The fourth proportional to 358.54, 494.58 and 227.32 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.54 : 494.58 = 227.32 : x
  2. Step 2: Convert to fraction form
    358.54/494.58 = 227.32/x
  3. Step 3: Cross multiply
    358.54x = 494.58 × 227.32
  4. Step 4: Simplify right side
    358.54x = 112,426.69
  5. Step 5: Solve for x
    x = 112,426.69/358.54
  6. Step 6: Final answer
    x = 313.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.