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Finding the Fourth Proportional to 311.74, 468.15 and 287.32

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Solution

The fourth proportional to 311.74, 468.15 and 287.32 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 468.15 = 287.32 : x
  2. Step 2: Convert to fraction form
    311.74/468.15 = 287.32/x
  3. Step 3: Cross multiply
    311.74x = 468.15 × 287.32
  4. Step 4: Simplify right side
    311.74x = 134,508.86
  5. Step 5: Solve for x
    x = 134,508.86/311.74
  6. Step 6: Final answer
    x = 431.48

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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.