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Finding the Fourth Proportional to 289.12, 435.43 and 255.26

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Solution

The fourth proportional to 289.12, 435.43 and 255.26 is: 384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.12 : 435.43 = 255.26 : x
  2. Step 2: Convert to fraction form
    289.12/435.43 = 255.26/x
  3. Step 3: Cross multiply
    289.12x = 435.43 × 255.26
  4. Step 4: Simplify right side
    289.12x = 111,147.86
  5. Step 5: Solve for x
    x = 111,147.86/289.12
  6. Step 6: Final answer
    x = 384.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.