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Finding the Fourth Proportional to 381.38, 526.26 and 215.59

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Solution

The fourth proportional to 381.38, 526.26 and 215.59 is: 297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 526.26 = 215.59 : x
  2. Step 2: Convert to fraction form
    381.38/526.26 = 215.59/x
  3. Step 3: Cross multiply
    381.38x = 526.26 × 215.59
  4. Step 4: Simplify right side
    381.38x = 113,456.39
  5. Step 5: Solve for x
    x = 113,456.39/381.38
  6. Step 6: Final answer
    x = 297.49

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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.