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Finding the Fourth Proportional to 289.06, 398.59 and 251.89

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Solution

The fourth proportional to 289.06, 398.59 and 251.89 is: 347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 398.59 = 251.89 : x
  2. Step 2: Convert to fraction form
    289.06/398.59 = 251.89/x
  3. Step 3: Cross multiply
    289.06x = 398.59 × 251.89
  4. Step 4: Simplify right side
    289.06x = 100,400.84
  5. Step 5: Solve for x
    x = 100,400.84/289.06
  6. Step 6: Final answer
    x = 347.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.