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Finding the Fourth Proportional to 380.14, 524.60 and 214.36

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Solution

The fourth proportional to 380.14, 524.60 and 214.36 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.14 : 524.60 = 214.36 : x
  2. Step 2: Convert to fraction form
    380.14/524.60 = 214.36/x
  3. Step 3: Cross multiply
    380.14x = 524.60 × 214.36
  4. Step 4: Simplify right side
    380.14x = 112,453.26
  5. Step 5: Solve for x
    x = 112,453.26/380.14
  6. Step 6: Final answer
    x = 295.82

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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.