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Finding the Fourth Proportional to 380.25, 524.75 and 205.59

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Solution

The fourth proportional to 380.25, 524.75 and 205.59 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 524.75 = 205.59 : x
  2. Step 2: Convert to fraction form
    380.25/524.75 = 205.59/x
  3. Step 3: Cross multiply
    380.25x = 524.75 × 205.59
  4. Step 4: Simplify right side
    380.25x = 107,884.29
  5. Step 5: Solve for x
    x = 107,884.29/380.25
  6. Step 6: Final answer
    x = 283.72

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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.