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Finding the Fourth Proportional to 541.17, 810.81 and 450.45

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Solution

The fourth proportional to 541.17, 810.81 and 450.45 is: 674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.17 : 810.81 = 450.45 : x
  2. Step 2: Convert to fraction form
    541.17/810.81 = 450.45/x
  3. Step 3: Cross multiply
    541.17x = 810.81 × 450.45
  4. Step 4: Simplify right side
    541.17x = 365,229.36
  5. Step 5: Solve for x
    x = 365,229.36/541.17
  6. Step 6: Final answer
    x = 674.89

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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.