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Finding the Fourth Proportional to 358.73, 494.71 and 234.35

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Solution

The fourth proportional to 358.73, 494.71 and 234.35 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.73 : 494.71 = 234.35 : x
  2. Step 2: Convert to fraction form
    358.73/494.71 = 234.35/x
  3. Step 3: Cross multiply
    358.73x = 494.71 × 234.35
  4. Step 4: Simplify right side
    358.73x = 115,935.29
  5. Step 5: Solve for x
    x = 115,935.29/358.73
  6. Step 6: Final answer
    x = 323.18

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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.