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Finding the Fourth Proportional to 541.29, 811.73 and 194.53

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Solution

The fourth proportional to 541.29, 811.73 and 194.53 is: 291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.29 : 811.73 = 194.53 : x
  2. Step 2: Convert to fraction form
    541.29/811.73 = 194.53/x
  3. Step 3: Cross multiply
    541.29x = 811.73 × 194.53
  4. Step 4: Simplify right side
    541.29x = 157,904.86
  5. Step 5: Solve for x
    x = 157,904.86/541.29
  6. Step 6: Final answer
    x = 291.72

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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.