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Finding the Fourth Proportional to 380.97, 525.74 and 206.31

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Solution

The fourth proportional to 380.97, 525.74 and 206.31 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 525.74 = 206.31 : x
  2. Step 2: Convert to fraction form
    380.97/525.74 = 206.31/x
  3. Step 3: Cross multiply
    380.97x = 525.74 × 206.31
  4. Step 4: Simplify right side
    380.97x = 108,465.96
  5. Step 5: Solve for x
    x = 108,465.96/380.97
  6. Step 6: Final answer
    x = 284.71

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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.