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Finding the Fourth Proportional to 905.64, 1,358.67 and 289.26

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Solution

The fourth proportional to 905.64, 1,358.67 and 289.26 is: 433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.64 : 1,358.67 = 289.26 : x
  2. Step 2: Convert to fraction form
    905.64/1,358.67 = 289.26/x
  3. Step 3: Cross multiply
    905.64x = 1,358.67 × 289.26
  4. Step 4: Simplify right side
    905.64x = 393,008.88
  5. Step 5: Solve for x
    x = 393,008.88/905.64
  6. Step 6: Final answer
    x = 433.96

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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.