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Finding the Fourth Proportional to 289.48, 398.94 and 210.67

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Solution

The fourth proportional to 289.48, 398.94 and 210.67 is: 290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.48 : 398.94 = 210.67 : x
  2. Step 2: Convert to fraction form
    289.48/398.94 = 210.67/x
  3. Step 3: Cross multiply
    289.48x = 398.94 × 210.67
  4. Step 4: Simplify right side
    289.48x = 84,044.69
  5. Step 5: Solve for x
    x = 84,044.69/289.48
  6. Step 6: Final answer
    x = 290.33

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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.