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Finding the Fourth Proportional to 380.80, 525.35 and 214.97

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Solution

The fourth proportional to 380.80, 525.35 and 214.97 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 525.35 = 214.97 : x
  2. Step 2: Convert to fraction form
    380.80/525.35 = 214.97/x
  3. Step 3: Cross multiply
    380.80x = 525.35 × 214.97
  4. Step 4: Simplify right side
    380.80x = 112,936.34
  5. Step 5: Solve for x
    x = 112,936.34/380.80
  6. Step 6: Final answer
    x = 296.58

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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.