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Finding the Fourth Proportional to 380.50, 525.09 and 205.84

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Solution

The fourth proportional to 380.50, 525.09 and 205.84 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 525.09 = 205.84 : x
  2. Step 2: Convert to fraction form
    380.50/525.09 = 205.84/x
  3. Step 3: Cross multiply
    380.50x = 525.09 × 205.84
  4. Step 4: Simplify right side
    380.50x = 108,085.58
  5. Step 5: Solve for x
    x = 108,085.58/380.50
  6. Step 6: Final answer
    x = 284.06

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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.