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Finding the Fourth Proportional to 465.40, 698.10 and 222.40

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Solution

The fourth proportional to 465.40, 698.10 and 222.40 is: 333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 698.10 = 222.40 : x
  2. Step 2: Convert to fraction form
    465.40/698.10 = 222.40/x
  3. Step 3: Cross multiply
    465.40x = 698.10 × 222.40
  4. Step 4: Simplify right side
    465.40x = 155,257.44
  5. Step 5: Solve for x
    x = 155,257.44/465.40
  6. Step 6: Final answer
    x = 333.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.