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Finding the Fourth Proportional to 380.12, 524.61 and 214.34

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Solution

The fourth proportional to 380.12, 524.61 and 214.34 is: 295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 524.61 = 214.34 : x
  2. Step 2: Convert to fraction form
    380.12/524.61 = 214.34/x
  3. Step 3: Cross multiply
    380.12x = 524.61 × 214.34
  4. Step 4: Simplify right side
    380.12x = 112,442.28
  5. Step 5: Solve for x
    x = 112,442.28/380.12
  6. Step 6: Final answer
    x = 295.81

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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.