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Finding the Fourth Proportional to 381.63, 526.14 and 298.41

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Solution

The fourth proportional to 381.63, 526.14 and 298.41 is: 411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.63 : 526.14 = 298.41 : x
  2. Step 2: Convert to fraction form
    381.63/526.14 = 298.41/x
  3. Step 3: Cross multiply
    381.63x = 526.14 × 298.41
  4. Step 4: Simplify right side
    381.63x = 157,005.44
  5. Step 5: Solve for x
    x = 157,005.44/381.63
  6. Step 6: Final answer
    x = 411.41

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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.