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Finding the Fourth Proportional to 358.42, 494.61 and 211.05

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Solution

The fourth proportional to 358.42, 494.61 and 211.05 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.42 : 494.61 = 211.05 : x
  2. Step 2: Convert to fraction form
    358.42/494.61 = 211.05/x
  3. Step 3: Cross multiply
    358.42x = 494.61 × 211.05
  4. Step 4: Simplify right side
    358.42x = 104,387.44
  5. Step 5: Solve for x
    x = 104,387.44/358.42
  6. Step 6: Final answer
    x = 291.24

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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.