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Finding the Fourth Proportional to 574.32, 861.59 and 184.23

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Solution

The fourth proportional to 574.32, 861.59 and 184.23 is: 276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 861.59 = 184.23 : x
  2. Step 2: Convert to fraction form
    574.32/861.59 = 184.23/x
  3. Step 3: Cross multiply
    574.32x = 861.59 × 184.23
  4. Step 4: Simplify right side
    574.32x = 158,730.73
  5. Step 5: Solve for x
    x = 158,730.73/574.32
  6. Step 6: Final answer
    x = 276.38

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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.