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Finding the Fourth Proportional to 381.34, 526.21 and 215.52

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Solution

The fourth proportional to 381.34, 526.21 and 215.52 is: 297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 526.21 = 215.52 : x
  2. Step 2: Convert to fraction form
    381.34/526.21 = 215.52/x
  3. Step 3: Cross multiply
    381.34x = 526.21 × 215.52
  4. Step 4: Simplify right side
    381.34x = 113,408.24
  5. Step 5: Solve for x
    x = 113,408.24/381.34
  6. Step 6: Final answer
    x = 297.40

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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.