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Finding the Fourth Proportional to 380.03, 524.48 and 214.25

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Solution

The fourth proportional to 380.03, 524.48 and 214.25 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 524.48 = 214.25 : x
  2. Step 2: Convert to fraction form
    380.03/524.48 = 214.25/x
  3. Step 3: Cross multiply
    380.03x = 524.48 × 214.25
  4. Step 4: Simplify right side
    380.03x = 112,366.15
  5. Step 5: Solve for x
    x = 112,366.15/380.03
  6. Step 6: Final answer
    x = 295.68

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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.