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Finding the Fourth Proportional to 380.28, 524.74 and 214.54

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Solution

The fourth proportional to 380.28, 524.74 and 214.54 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.28 : 524.74 = 214.54 : x
  2. Step 2: Convert to fraction form
    380.28/524.74 = 214.54/x
  3. Step 3: Cross multiply
    380.28x = 524.74 × 214.54
  4. Step 4: Simplify right side
    380.28x = 112,577.72
  5. Step 5: Solve for x
    x = 112,577.72/380.28
  6. Step 6: Final answer
    x = 296.04

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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.