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Finding the Fourth Proportional to 358.38, 494.56 and 211.10

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Solution

The fourth proportional to 358.38, 494.56 and 211.10 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.38 : 494.56 = 211.10 : x
  2. Step 2: Convert to fraction form
    358.38/494.56 = 211.10/x
  3. Step 3: Cross multiply
    358.38x = 494.56 × 211.10
  4. Step 4: Simplify right side
    358.38x = 104,401.62
  5. Step 5: Solve for x
    x = 104,401.62/358.38
  6. Step 6: Final answer
    x = 291.32

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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.