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Finding the Fourth Proportional to 289.83, 434.61 and 116.43

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Solution

The fourth proportional to 289.83, 434.61 and 116.43 is: 174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 434.61 = 116.43 : x
  2. Step 2: Convert to fraction form
    289.83/434.61 = 116.43/x
  3. Step 3: Cross multiply
    289.83x = 434.61 × 116.43
  4. Step 4: Simplify right side
    289.83x = 50,601.64
  5. Step 5: Solve for x
    x = 50,601.64/289.83
  6. Step 6: Final answer
    x = 174.59

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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.