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Finding the Fourth Proportional to 574.83, 862.04 and 184.73

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Solution

The fourth proportional to 574.83, 862.04 and 184.73 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 862.04 = 184.73 : x
  2. Step 2: Convert to fraction form
    574.83/862.04 = 184.73/x
  3. Step 3: Cross multiply
    574.83x = 862.04 × 184.73
  4. Step 4: Simplify right side
    574.83x = 159,239.42
  5. Step 5: Solve for x
    x = 159,239.42/574.83
  6. Step 6: Final answer
    x = 277.02

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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.