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Finding the Fourth Proportional to 380.11, 524.50 and 214.30

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Solution

The fourth proportional to 380.11, 524.50 and 214.30 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 524.50 = 214.30 : x
  2. Step 2: Convert to fraction form
    380.11/524.50 = 214.30/x
  3. Step 3: Cross multiply
    380.11x = 524.50 × 214.30
  4. Step 4: Simplify right side
    380.11x = 112,400.35
  5. Step 5: Solve for x
    x = 112,400.35/380.11
  6. Step 6: Final answer
    x = 295.70

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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.