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Finding the Fourth Proportional to 380.09, 524.50 and 214.31

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Solution

The fourth proportional to 380.09, 524.50 and 214.31 is: 295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.50 = 214.31 : x
  2. Step 2: Convert to fraction form
    380.09/524.50 = 214.31/x
  3. Step 3: Cross multiply
    380.09x = 524.50 × 214.31
  4. Step 4: Simplify right side
    380.09x = 112,405.60
  5. Step 5: Solve for x
    x = 112,405.60/380.09
  6. Step 6: Final answer
    x = 295.73

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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.