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Finding the Fourth Proportional to 574.41, 861.59 and 184.39

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Solution

The fourth proportional to 574.41, 861.59 and 184.39 is: 276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 861.59 = 184.39 : x
  2. Step 2: Convert to fraction form
    574.41/861.59 = 184.39/x
  3. Step 3: Cross multiply
    574.41x = 861.59 × 184.39
  4. Step 4: Simplify right side
    574.41x = 158,868.58
  5. Step 5: Solve for x
    x = 158,868.58/574.41
  6. Step 6: Final answer
    x = 276.58

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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.