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Finding the Fourth Proportional to 358.54, 494.76 and 211.20

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Solution

The fourth proportional to 358.54, 494.76 and 211.20 is: 291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.54 : 494.76 = 211.20 : x
  2. Step 2: Convert to fraction form
    358.54/494.76 = 211.20/x
  3. Step 3: Cross multiply
    358.54x = 494.76 × 211.20
  4. Step 4: Simplify right side
    358.54x = 104,493.31
  5. Step 5: Solve for x
    x = 104,493.31/358.54
  6. Step 6: Final answer
    x = 291.44

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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.