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Finding the Fourth Proportional to 905.97, 1,358.93 and 289.67

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Solution

The fourth proportional to 905.97, 1,358.93 and 289.67 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.97 : 1,358.93 = 289.67 : x
  2. Step 2: Convert to fraction form
    905.97/1,358.93 = 289.67/x
  3. Step 3: Cross multiply
    905.97x = 1,358.93 × 289.67
  4. Step 4: Simplify right side
    905.97x = 393,633.01
  5. Step 5: Solve for x
    x = 393,633.01/905.97
  6. Step 6: Final answer
    x = 434.49

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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.