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Finding the Fourth Proportional to 541.26, 811.77 and 194.52

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Solution

The fourth proportional to 541.26, 811.77 and 194.52 is: 291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.26 : 811.77 = 194.52 : x
  2. Step 2: Convert to fraction form
    541.26/811.77 = 194.52/x
  3. Step 3: Cross multiply
    541.26x = 811.77 × 194.52
  4. Step 4: Simplify right side
    541.26x = 157,905.50
  5. Step 5: Solve for x
    x = 157,905.50/541.26
  6. Step 6: Final answer
    x = 291.74

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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.