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Finding the Fourth Proportional to 541.80, 813 and 537.68

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Solution

The fourth proportional to 541.80, 813 and 537.68 is: 806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.80 : 813 = 537.68 : x
  2. Step 2: Convert to fraction form
    541.80/813 = 537.68/x
  3. Step 3: Cross multiply
    541.80x = 813 × 537.68
  4. Step 4: Simplify right side
    541.80x = 437,133.84
  5. Step 5: Solve for x
    x = 437,133.84/541.80
  6. Step 6: Final answer
    x = 806.82

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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.