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Finding the Fourth Proportional to 541.90, 811.03 and 450.78

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Solution

The fourth proportional to 541.90, 811.03 and 450.78 is: 674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.90 : 811.03 = 450.78 : x
  2. Step 2: Convert to fraction form
    541.90/811.03 = 450.78/x
  3. Step 3: Cross multiply
    541.90x = 811.03 × 450.78
  4. Step 4: Simplify right side
    541.90x = 365,596.10
  5. Step 5: Solve for x
    x = 365,596.10/541.90
  6. Step 6: Final answer
    x = 674.66

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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.