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Finding the Fourth Proportional to 321.32, 481.14 and 294.59

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Solution

The fourth proportional to 321.32, 481.14 and 294.59 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.32 : 481.14 = 294.59 : x
  2. Step 2: Convert to fraction form
    321.32/481.14 = 294.59/x
  3. Step 3: Cross multiply
    321.32x = 481.14 × 294.59
  4. Step 4: Simplify right side
    321.32x = 141,740.24
  5. Step 5: Solve for x
    x = 141,740.24/321.32
  6. Step 6: Final answer
    x = 441.12

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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.