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Finding the Fourth Proportional to 380.08, 524.51 and 205.42

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Solution

The fourth proportional to 380.08, 524.51 and 205.42 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 524.51 = 205.42 : x
  2. Step 2: Convert to fraction form
    380.08/524.51 = 205.42/x
  3. Step 3: Cross multiply
    380.08x = 524.51 × 205.42
  4. Step 4: Simplify right side
    380.08x = 107,745.16
  5. Step 5: Solve for x
    x = 107,745.16/380.08
  6. Step 6: Final answer
    x = 283.48

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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.