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Finding the Fourth Proportional to 541.73, 813 and 298.46

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Solution

The fourth proportional to 541.73, 813 and 298.46 is: 447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.73 : 813 = 298.46 : x
  2. Step 2: Convert to fraction form
    541.73/813 = 298.46/x
  3. Step 3: Cross multiply
    541.73x = 813 × 298.46
  4. Step 4: Simplify right side
    541.73x = 242,647.98
  5. Step 5: Solve for x
    x = 242,647.98/541.73
  6. Step 6: Final answer
    x = 447.91

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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.