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Finding the Fourth Proportional to 380.10, 524.60 and 214.33

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Solution

The fourth proportional to 380.10, 524.60 and 214.33 is: 295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 524.60 = 214.33 : x
  2. Step 2: Convert to fraction form
    380.10/524.60 = 214.33/x
  3. Step 3: Cross multiply
    380.10x = 524.60 × 214.33
  4. Step 4: Simplify right side
    380.10x = 112,435.13
  5. Step 5: Solve for x
    x = 112,435.13/380.10
  6. Step 6: Final answer
    x = 295.80

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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.