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Finding the Fourth Proportional to 380.89, 525.68 and 215.11

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Solution

The fourth proportional to 380.89, 525.68 and 215.11 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 525.68 = 215.11 : x
  2. Step 2: Convert to fraction form
    380.89/525.68 = 215.11/x
  3. Step 3: Cross multiply
    380.89x = 525.68 × 215.11
  4. Step 4: Simplify right side
    380.89x = 113,079.02
  5. Step 5: Solve for x
    x = 113,079.02/380.89
  6. Step 6: Final answer
    x = 296.88

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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.