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Finding the Fourth Proportional to 905.64, 1,358.66 and 289.34

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Solution

The fourth proportional to 905.64, 1,358.66 and 289.34 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.64 : 1,358.66 = 289.34 : x
  2. Step 2: Convert to fraction form
    905.64/1,358.66 = 289.34/x
  3. Step 3: Cross multiply
    905.64x = 1,358.66 × 289.34
  4. Step 4: Simplify right side
    905.64x = 393,114.68
  5. Step 5: Solve for x
    x = 393,114.68/905.64
  6. Step 6: Final answer
    x = 434.07

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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.