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Finding the Fourth Proportional to 541.09, 811.84 and 194.41

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Solution

The fourth proportional to 541.09, 811.84 and 194.41 is: 291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.09 : 811.84 = 194.41 : x
  2. Step 2: Convert to fraction form
    541.09/811.84 = 194.41/x
  3. Step 3: Cross multiply
    541.09x = 811.84 × 194.41
  4. Step 4: Simplify right side
    541.09x = 157,829.81
  5. Step 5: Solve for x
    x = 157,829.81/541.09
  6. Step 6: Final answer
    x = 291.69

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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.