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Finding the Fourth Proportional to 380.31, 524.83 and 205.66

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Solution

The fourth proportional to 380.31, 524.83 and 205.66 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.31 : 524.83 = 205.66 : x
  2. Step 2: Convert to fraction form
    380.31/524.83 = 205.66/x
  3. Step 3: Cross multiply
    380.31x = 524.83 × 205.66
  4. Step 4: Simplify right side
    380.31x = 107,934.83
  5. Step 5: Solve for x
    x = 107,934.83/380.31
  6. Step 6: Final answer
    x = 283.81

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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.