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Finding the Fourth Proportional to 311.99, 468.53 and 287.57

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Solution

The fourth proportional to 311.99, 468.53 and 287.57 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 468.53 = 287.57 : x
  2. Step 2: Convert to fraction form
    311.99/468.53 = 287.57/x
  3. Step 3: Cross multiply
    311.99x = 468.53 × 287.57
  4. Step 4: Simplify right side
    311.99x = 134,735.17
  5. Step 5: Solve for x
    x = 134,735.17/311.99
  6. Step 6: Final answer
    x = 431.86

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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.