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Finding the Fourth Proportional to 380.19, 524.62 and 214.43

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Solution

The fourth proportional to 380.19, 524.62 and 214.43 is: 295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 524.62 = 214.43 : x
  2. Step 2: Convert to fraction form
    380.19/524.62 = 214.43/x
  3. Step 3: Cross multiply
    380.19x = 524.62 × 214.43
  4. Step 4: Simplify right side
    380.19x = 112,494.27
  5. Step 5: Solve for x
    x = 112,494.27/380.19
  6. Step 6: Final answer
    x = 295.89

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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.