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Finding the Fourth Proportional to 380.68, 525.34 and 214.92

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Solution

The fourth proportional to 380.68, 525.34 and 214.92 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 525.34 = 214.92 : x
  2. Step 2: Convert to fraction form
    380.68/525.34 = 214.92/x
  3. Step 3: Cross multiply
    380.68x = 525.34 × 214.92
  4. Step 4: Simplify right side
    380.68x = 112,906.07
  5. Step 5: Solve for x
    x = 112,906.07/380.68
  6. Step 6: Final answer
    x = 296.59

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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.