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Finding the Fourth Proportional to 380.77, 525.42 and 214.99

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Solution

The fourth proportional to 380.77, 525.42 and 214.99 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 525.42 = 214.99 : x
  2. Step 2: Convert to fraction form
    380.77/525.42 = 214.99/x
  3. Step 3: Cross multiply
    380.77x = 525.42 × 214.99
  4. Step 4: Simplify right side
    380.77x = 112,958.73
  5. Step 5: Solve for x
    x = 112,958.73/380.77
  6. Step 6: Final answer
    x = 296.66

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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.