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Finding the Fourth Proportional to 358.62, 494.92 and 211.22

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Solution

The fourth proportional to 358.62, 494.92 and 211.22 is: 291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.62 : 494.92 = 211.22 : x
  2. Step 2: Convert to fraction form
    358.62/494.92 = 211.22/x
  3. Step 3: Cross multiply
    358.62x = 494.92 × 211.22
  4. Step 4: Simplify right side
    358.62x = 104,537.00
  5. Step 5: Solve for x
    x = 104,537.00/358.62
  6. Step 6: Final answer
    x = 291.50

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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.