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Finding the Fourth Proportional to 354.24, 488.80 and 206.88

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Solution

The fourth proportional to 354.24, 488.80 and 206.88 is: 285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 488.80 = 206.88 : x
  2. Step 2: Convert to fraction form
    354.24/488.80 = 206.88/x
  3. Step 3: Cross multiply
    354.24x = 488.80 × 206.88
  4. Step 4: Simplify right side
    354.24x = 101,122.94
  5. Step 5: Solve for x
    x = 101,122.94/354.24
  6. Step 6: Final answer
    x = 285.46

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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.