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Finding the Fourth Proportional to 380.67, 525.32 and 214.90

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Solution

The fourth proportional to 380.67, 525.32 and 214.90 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.67 : 525.32 = 214.90 : x
  2. Step 2: Convert to fraction form
    380.67/525.32 = 214.90/x
  3. Step 3: Cross multiply
    380.67x = 525.32 × 214.90
  4. Step 4: Simplify right side
    380.67x = 112,891.27
  5. Step 5: Solve for x
    x = 112,891.27/380.67
  6. Step 6: Final answer
    x = 296.56

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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.