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Finding the Fourth Proportional to 311.91, 468.34 and 297.06

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Solution

The fourth proportional to 311.91, 468.34 and 297.06 is: 446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.91 : 468.34 = 297.06 : x
  2. Step 2: Convert to fraction form
    311.91/468.34 = 297.06/x
  3. Step 3: Cross multiply
    311.91x = 468.34 × 297.06
  4. Step 4: Simplify right side
    311.91x = 139,122.58
  5. Step 5: Solve for x
    x = 139,122.58/311.91
  6. Step 6: Final answer
    x = 446.04

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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.