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Finding the Fourth Proportional to 354.23, 488.80 and 204.82

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Solution

The fourth proportional to 354.23, 488.80 and 204.82 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 488.80 = 204.82 : x
  2. Step 2: Convert to fraction form
    354.23/488.80 = 204.82/x
  3. Step 3: Cross multiply
    354.23x = 488.80 × 204.82
  4. Step 4: Simplify right side
    354.23x = 100,116.02
  5. Step 5: Solve for x
    x = 100,116.02/354.23
  6. Step 6: Final answer
    x = 282.63

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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.