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Finding the Fourth Proportional to 289.36, 398.95 and 240.22

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Solution

The fourth proportional to 289.36, 398.95 and 240.22 is: 331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 398.95 = 240.22 : x
  2. Step 2: Convert to fraction form
    289.36/398.95 = 240.22/x
  3. Step 3: Cross multiply
    289.36x = 398.95 × 240.22
  4. Step 4: Simplify right side
    289.36x = 95,835.77
  5. Step 5: Solve for x
    x = 95,835.77/289.36
  6. Step 6: Final answer
    x = 331.20

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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.