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Finding the Fourth Proportional to 358.56, 494.61 and 234.28

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Solution

The fourth proportional to 358.56, 494.61 and 234.28 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 494.61 = 234.28 : x
  2. Step 2: Convert to fraction form
    358.56/494.61 = 234.28/x
  3. Step 3: Cross multiply
    358.56x = 494.61 × 234.28
  4. Step 4: Simplify right side
    358.56x = 115,873.59
  5. Step 5: Solve for x
    x = 115,873.59/358.56
  6. Step 6: Final answer
    x = 323.16

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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.