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Finding the Fourth Proportional to 358.09, 494.17 and 210.80

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Solution

The fourth proportional to 358.09, 494.17 and 210.80 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.09 : 494.17 = 210.80 : x
  2. Step 2: Convert to fraction form
    358.09/494.17 = 210.80/x
  3. Step 3: Cross multiply
    358.09x = 494.17 × 210.80
  4. Step 4: Simplify right side
    358.09x = 104,171.74
  5. Step 5: Solve for x
    x = 104,171.74/358.09
  6. Step 6: Final answer
    x = 290.91

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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.