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Finding the Fourth Proportional to 381.62, 526.21 and 298.46

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Solution

The fourth proportional to 381.62, 526.21 and 298.46 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.62 : 526.21 = 298.46 : x
  2. Step 2: Convert to fraction form
    381.62/526.21 = 298.46/x
  3. Step 3: Cross multiply
    381.62x = 526.21 × 298.46
  4. Step 4: Simplify right side
    381.62x = 157,052.64
  5. Step 5: Solve for x
    x = 157,052.64/381.62
  6. Step 6: Final answer
    x = 411.54

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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.