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Finding the Fourth Proportional to 541.11, 814.91 and 455.00

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Solution

The fourth proportional to 541.11, 814.91 and 455.00 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.11 : 814.91 = 455.00 : x
  2. Step 2: Convert to fraction form
    541.11/814.91 = 455.00/x
  3. Step 3: Cross multiply
    541.11x = 814.91 × 455.00
  4. Step 4: Simplify right side
    541.11x = 370,784.56
  5. Step 5: Solve for x
    x = 370,784.56/541.11
  6. Step 6: Final answer
    x = 685.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.