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Finding the Fourth Proportional to 535.11, 803.12 and 381.41

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Solution

The fourth proportional to 535.11, 803.12 and 381.41 is: 572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.11 : 803.12 = 381.41 : x
  2. Step 2: Convert to fraction form
    535.11/803.12 = 381.41/x
  3. Step 3: Cross multiply
    535.11x = 803.12 × 381.41
  4. Step 4: Simplify right side
    535.11x = 306,314.08
  5. Step 5: Solve for x
    x = 306,314.08/535.11
  6. Step 6: Final answer
    x = 572.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.