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Finding the Fourth Proportional to 465.84, 698.94 and 321.84

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Solution

The fourth proportional to 465.84, 698.94 and 321.84 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.94 = 321.84 : x
  2. Step 2: Convert to fraction form
    465.84/698.94 = 321.84/x
  3. Step 3: Cross multiply
    465.84x = 698.94 × 321.84
  4. Step 4: Simplify right side
    465.84x = 224,946.85
  5. Step 5: Solve for x
    x = 224,946.85/465.84
  6. Step 6: Final answer
    x = 482.88

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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.