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Finding the Fourth Proportional to 358.62, 494.85 and 211.23

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Solution

The fourth proportional to 358.62, 494.85 and 211.23 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.62 : 494.85 = 211.23 : x
  2. Step 2: Convert to fraction form
    358.62/494.85 = 211.23/x
  3. Step 3: Cross multiply
    358.62x = 494.85 × 211.23
  4. Step 4: Simplify right side
    358.62x = 104,527.17
  5. Step 5: Solve for x
    x = 104,527.17/358.62
  6. Step 6: Final answer
    x = 291.47

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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.