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Finding the Fourth Proportional to 584.83, 877.37 and 194.92

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Solution

The fourth proportional to 584.83, 877.37 and 194.92 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 877.37 = 194.92 : x
  2. Step 2: Convert to fraction form
    584.83/877.37 = 194.92/x
  3. Step 3: Cross multiply
    584.83x = 877.37 × 194.92
  4. Step 4: Simplify right side
    584.83x = 171,016.96
  5. Step 5: Solve for x
    x = 171,016.96/584.83
  6. Step 6: Final answer
    x = 292.42

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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.