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Finding the Fourth Proportional to 636.35, 954.59 and 311.81

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Solution

The fourth proportional to 636.35, 954.59 and 311.81 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.35 : 954.59 = 311.81 : x
  2. Step 2: Convert to fraction form
    636.35/954.59 = 311.81/x
  3. Step 3: Cross multiply
    636.35x = 954.59 × 311.81
  4. Step 4: Simplify right side
    636.35x = 297,644.38
  5. Step 5: Solve for x
    x = 297,644.38/636.35
  6. Step 6: Final answer
    x = 467.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.