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Finding the Fourth Proportional to 466.36, 698.83 and 234.70

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Solution

The fourth proportional to 466.36, 698.83 and 234.70 is: 351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 698.83 = 234.70 : x
  2. Step 2: Convert to fraction form
    466.36/698.83 = 234.70/x
  3. Step 3: Cross multiply
    466.36x = 698.83 × 234.70
  4. Step 4: Simplify right side
    466.36x = 164,013.07
  5. Step 5: Solve for x
    x = 164,013.07/466.36
  6. Step 6: Final answer
    x = 351.69

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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.