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Finding the Fourth Proportional to 540.58, 811.27 and 193.92

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Solution

The fourth proportional to 540.58, 811.27 and 193.92 is: 291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.58 : 811.27 = 193.92 : x
  2. Step 2: Convert to fraction form
    540.58/811.27 = 193.92/x
  3. Step 3: Cross multiply
    540.58x = 811.27 × 193.92
  4. Step 4: Simplify right side
    540.58x = 157,321.48
  5. Step 5: Solve for x
    x = 157,321.48/540.58
  6. Step 6: Final answer
    x = 291.02

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