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Finding the Fourth Proportional to 321.84, 480.33 and 313.20

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Solution

The fourth proportional to 321.84, 480.33 and 313.20 is: 467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 480.33 = 313.20 : x
  2. Step 2: Convert to fraction form
    321.84/480.33 = 313.20/x
  3. Step 3: Cross multiply
    321.84x = 480.33 × 313.20
  4. Step 4: Simplify right side
    321.84x = 150,439.36
  5. Step 5: Solve for x
    x = 150,439.36/321.84
  6. Step 6: Final answer
    x = 467.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.