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Finding the Fourth Proportional to 380.34, 524.87 and 205.68

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Solution

The fourth proportional to 380.34, 524.87 and 205.68 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 524.87 = 205.68 : x
  2. Step 2: Convert to fraction form
    380.34/524.87 = 205.68/x
  3. Step 3: Cross multiply
    380.34x = 524.87 × 205.68
  4. Step 4: Simplify right side
    380.34x = 107,956.72
  5. Step 5: Solve for x
    x = 107,956.72/380.34
  6. Step 6: Final answer
    x = 283.84

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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.