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Finding the Fourth Proportional to 289.02, 398.34 and 211.26

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Solution

The fourth proportional to 289.02, 398.34 and 211.26 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 398.34 = 211.26 : x
  2. Step 2: Convert to fraction form
    289.02/398.34 = 211.26/x
  3. Step 3: Cross multiply
    289.02x = 398.34 × 211.26
  4. Step 4: Simplify right side
    289.02x = 84,153.31
  5. Step 5: Solve for x
    x = 84,153.31/289.02
  6. Step 6: Final answer
    x = 291.17

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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.