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Finding the Fourth Proportional to 289.28, 434.73 and 281.99

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Solution

The fourth proportional to 289.28, 434.73 and 281.99 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.28 : 434.73 = 281.99 : x
  2. Step 2: Convert to fraction form
    289.28/434.73 = 281.99/x
  3. Step 3: Cross multiply
    289.28x = 434.73 × 281.99
  4. Step 4: Simplify right side
    289.28x = 122,589.51
  5. Step 5: Solve for x
    x = 122,589.51/289.28
  6. Step 6: Final answer
    x = 423.77

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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.