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Finding the Fourth Proportional to 311.63, 466.59 and 253.71

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Solution

The fourth proportional to 311.63, 466.59 and 253.71 is: 379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.63 : 466.59 = 253.71 : x
  2. Step 2: Convert to fraction form
    311.63/466.59 = 253.71/x
  3. Step 3: Cross multiply
    311.63x = 466.59 × 253.71
  4. Step 4: Simplify right side
    311.63x = 118,378.55
  5. Step 5: Solve for x
    x = 118,378.55/311.63
  6. Step 6: Final answer
    x = 379.87

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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.