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Finding the Fourth Proportional to 380.35, 524.88 and 205.69

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Solution

The fourth proportional to 380.35, 524.88 and 205.69 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.35 : 524.88 = 205.69 : x
  2. Step 2: Convert to fraction form
    380.35/524.88 = 205.69/x
  3. Step 3: Cross multiply
    380.35x = 524.88 × 205.69
  4. Step 4: Simplify right side
    380.35x = 107,964.59
  5. Step 5: Solve for x
    x = 107,964.59/380.35
  6. Step 6: Final answer
    x = 283.86

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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.