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Finding the Fourth Proportional to 541.02, 813.96 and 493.23

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Solution

The fourth proportional to 541.02, 813.96 and 493.23 is: 742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.02 : 813.96 = 493.23 : x
  2. Step 2: Convert to fraction form
    541.02/813.96 = 493.23/x
  3. Step 3: Cross multiply
    541.02x = 813.96 × 493.23
  4. Step 4: Simplify right side
    541.02x = 401,469.49
  5. Step 5: Solve for x
    x = 401,469.49/541.02
  6. Step 6: Final answer
    x = 742.06

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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.