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Finding the Fourth Proportional to 380.05, 524.49 and 212.03

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Solution

The fourth proportional to 380.05, 524.49 and 212.03 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.05 : 524.49 = 212.03 : x
  2. Step 2: Convert to fraction form
    380.05/524.49 = 212.03/x
  3. Step 3: Cross multiply
    380.05x = 524.49 × 212.03
  4. Step 4: Simplify right side
    380.05x = 111,207.61
  5. Step 5: Solve for x
    x = 111,207.61/380.05
  6. Step 6: Final answer
    x = 292.61

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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.