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Finding the Fourth Proportional to 380.29, 524.79 and 205.63

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Solution

The fourth proportional to 380.29, 524.79 and 205.63 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.29 : 524.79 = 205.63 : x
  2. Step 2: Convert to fraction form
    380.29/524.79 = 205.63/x
  3. Step 3: Cross multiply
    380.29x = 524.79 × 205.63
  4. Step 4: Simplify right side
    380.29x = 107,913.31
  5. Step 5: Solve for x
    x = 107,913.31/380.29
  6. Step 6: Final answer
    x = 283.77

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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.