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Finding the Fourth Proportional to 353.84, 488.30 and 206.58

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Solution

The fourth proportional to 353.84, 488.30 and 206.58 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 488.30 = 206.58 : x
  2. Step 2: Convert to fraction form
    353.84/488.30 = 206.58/x
  3. Step 3: Cross multiply
    353.84x = 488.30 × 206.58
  4. Step 4: Simplify right side
    353.84x = 100,873.01
  5. Step 5: Solve for x
    x = 100,873.01/353.84
  6. Step 6: Final answer
    x = 285.08

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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.