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Finding the Fourth Proportional to 380.89, 525.62 and 206.23

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Solution

The fourth proportional to 380.89, 525.62 and 206.23 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 525.62 = 206.23 : x
  2. Step 2: Convert to fraction form
    380.89/525.62 = 206.23/x
  3. Step 3: Cross multiply
    380.89x = 525.62 × 206.23
  4. Step 4: Simplify right side
    380.89x = 108,397.64
  5. Step 5: Solve for x
    x = 108,397.64/380.89
  6. Step 6: Final answer
    x = 284.59

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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.