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Finding the Fourth Proportional to 574.83, 862.22 and 541.01

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Solution

The fourth proportional to 574.83, 862.22 and 541.01 is: 811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 862.22 = 541.01 : x
  2. Step 2: Convert to fraction form
    574.83/862.22 = 541.01/x
  3. Step 3: Cross multiply
    574.83x = 862.22 × 541.01
  4. Step 4: Simplify right side
    574.83x = 466,469.64
  5. Step 5: Solve for x
    x = 466,469.64/574.83
  6. Step 6: Final answer
    x = 811.49

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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.