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Finding the Fourth Proportional to 321.30, 484.52 and 319.14

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Solution

The fourth proportional to 321.30, 484.52 and 319.14 is: 481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 484.52 = 319.14 : x
  2. Step 2: Convert to fraction form
    321.30/484.52 = 319.14/x
  3. Step 3: Cross multiply
    321.30x = 484.52 × 319.14
  4. Step 4: Simplify right side
    321.30x = 154,628.12
  5. Step 5: Solve for x
    x = 154,628.12/321.30
  6. Step 6: Final answer
    x = 481.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.