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Finding the Fourth Proportional to 321.05, 480.86 and 313.29

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Solution

The fourth proportional to 321.05, 480.86 and 313.29 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 480.86 = 313.29 : x
  2. Step 2: Convert to fraction form
    321.05/480.86 = 313.29/x
  3. Step 3: Cross multiply
    321.05x = 480.86 × 313.29
  4. Step 4: Simplify right side
    321.05x = 150,648.63
  5. Step 5: Solve for x
    x = 150,648.63/321.05
  6. Step 6: Final answer
    x = 469.24

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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.