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Finding the Fourth Proportional to 289.12, 398.01 and 261.41

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Solution

The fourth proportional to 289.12, 398.01 and 261.41 is: 359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.12 : 398.01 = 261.41 : x
  2. Step 2: Convert to fraction form
    289.12/398.01 = 261.41/x
  3. Step 3: Cross multiply
    289.12x = 398.01 × 261.41
  4. Step 4: Simplify right side
    289.12x = 104,043.79
  5. Step 5: Solve for x
    x = 104,043.79/289.12
  6. Step 6: Final answer
    x = 359.86

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