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Finding the Fourth Proportional to 354.24, 488.84 and 204.86

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Solution

The fourth proportional to 354.24, 488.84 and 204.86 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 488.84 = 204.86 : x
  2. Step 2: Convert to fraction form
    354.24/488.84 = 204.86/x
  3. Step 3: Cross multiply
    354.24x = 488.84 × 204.86
  4. Step 4: Simplify right side
    354.24x = 100,143.96
  5. Step 5: Solve for x
    x = 100,143.96/354.24
  6. Step 6: Final answer
    x = 282.70

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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.