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Finding the Fourth Proportional to 541.35, 811.99 and 233.05

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Solution

The fourth proportional to 541.35, 811.99 and 233.05 is: 349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.35 : 811.99 = 233.05 : x
  2. Step 2: Convert to fraction form
    541.35/811.99 = 233.05/x
  3. Step 3: Cross multiply
    541.35x = 811.99 × 233.05
  4. Step 4: Simplify right side
    541.35x = 189,234.27
  5. Step 5: Solve for x
    x = 189,234.27/541.35
  6. Step 6: Final answer
    x = 349.56

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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.