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Finding the Fourth Proportional to 358.31, 494.44 and 208.96

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Solution

The fourth proportional to 358.31, 494.44 and 208.96 is: 288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 494.44 = 208.96 : x
  2. Step 2: Convert to fraction form
    358.31/494.44 = 208.96/x
  3. Step 3: Cross multiply
    358.31x = 494.44 × 208.96
  4. Step 4: Simplify right side
    358.31x = 103,318.18
  5. Step 5: Solve for x
    x = 103,318.18/358.31
  6. Step 6: Final answer
    x = 288.35

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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.