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Finding the Fourth Proportional to 380.46, 524.97 and 214.62

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Solution

The fourth proportional to 380.46, 524.97 and 214.62 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.46 : 524.97 = 214.62 : x
  2. Step 2: Convert to fraction form
    380.46/524.97 = 214.62/x
  3. Step 3: Cross multiply
    380.46x = 524.97 × 214.62
  4. Step 4: Simplify right side
    380.46x = 112,669.06
  5. Step 5: Solve for x
    x = 112,669.06/380.46
  6. Step 6: Final answer
    x = 296.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.