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Finding the Fourth Proportional to 636.85, 954.46 and 289.83

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Solution

The fourth proportional to 636.85, 954.46 and 289.83 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.85 : 954.46 = 289.83 : x
  2. Step 2: Convert to fraction form
    636.85/954.46 = 289.83/x
  3. Step 3: Cross multiply
    636.85x = 954.46 × 289.83
  4. Step 4: Simplify right side
    636.85x = 276,631.14
  5. Step 5: Solve for x
    x = 276,631.14/636.85
  6. Step 6: Final answer
    x = 434.37

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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.