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Finding the Fourth Proportional to 380.20, 524.70 and 214.42

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Solution

The fourth proportional to 380.20, 524.70 and 214.42 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 524.70 = 214.42 : x
  2. Step 2: Convert to fraction form
    380.20/524.70 = 214.42/x
  3. Step 3: Cross multiply
    380.20x = 524.70 × 214.42
  4. Step 4: Simplify right side
    380.20x = 112,506.17
  5. Step 5: Solve for x
    x = 112,506.17/380.20
  6. Step 6: Final answer
    x = 295.91

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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.