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Finding the Fourth Proportional to 354.01, 488.49 and 206.59

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Solution

The fourth proportional to 354.01, 488.49 and 206.59 is: 285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.01 : 488.49 = 206.59 : x
  2. Step 2: Convert to fraction form
    354.01/488.49 = 206.59/x
  3. Step 3: Cross multiply
    354.01x = 488.49 × 206.59
  4. Step 4: Simplify right side
    354.01x = 100,917.15
  5. Step 5: Solve for x
    x = 100,917.15/354.01
  6. Step 6: Final answer
    x = 285.07

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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.