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Finding the Fourth Proportional to 380.74, 525.42 and 206.09

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Solution

The fourth proportional to 380.74, 525.42 and 206.09 is: 284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.74 : 525.42 = 206.09 : x
  2. Step 2: Convert to fraction form
    380.74/525.42 = 206.09/x
  3. Step 3: Cross multiply
    380.74x = 525.42 × 206.09
  4. Step 4: Simplify right side
    380.74x = 108,282.54
  5. Step 5: Solve for x
    x = 108,282.54/380.74
  6. Step 6: Final answer
    x = 284.40

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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.