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Finding the Fourth Proportional to 289.86, 434.01 and 212.24

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Solution

The fourth proportional to 289.86, 434.01 and 212.24 is: 317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 434.01 = 212.24 : x
  2. Step 2: Convert to fraction form
    289.86/434.01 = 212.24/x
  3. Step 3: Cross multiply
    289.86x = 434.01 × 212.24
  4. Step 4: Simplify right side
    289.86x = 92,112.53
  5. Step 5: Solve for x
    x = 92,112.53/289.86
  6. Step 6: Final answer
    x = 317.78

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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.