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Finding the Fourth Proportional to 354.23, 488.72 and 206.78

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Solution

The fourth proportional to 354.23, 488.72 and 206.78 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 488.72 = 206.78 : x
  2. Step 2: Convert to fraction form
    354.23/488.72 = 206.78/x
  3. Step 3: Cross multiply
    354.23x = 488.72 × 206.78
  4. Step 4: Simplify right side
    354.23x = 101,054.04
  5. Step 5: Solve for x
    x = 101,054.04/354.23
  6. Step 6: Final answer
    x = 285.28

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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.