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Finding the Fourth Proportional to 355.42, 490.45 and 206.01

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Solution

The fourth proportional to 355.42, 490.45 and 206.01 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.42 : 490.45 = 206.01 : x
  2. Step 2: Convert to fraction form
    355.42/490.45 = 206.01/x
  3. Step 3: Cross multiply
    355.42x = 490.45 × 206.01
  4. Step 4: Simplify right side
    355.42x = 101,039.35
  5. Step 5: Solve for x
    x = 101,039.35/355.42
  6. Step 6: Final answer
    x = 284.29

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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.