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Finding the Fourth Proportional to 331.00, 493.21 and 294.65

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Solution

The fourth proportional to 331.00, 493.21 and 294.65 is: 439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.00 : 493.21 = 294.65 : x
  2. Step 2: Convert to fraction form
    331.00/493.21 = 294.65/x
  3. Step 3: Cross multiply
    331.00x = 493.21 × 294.65
  4. Step 4: Simplify right side
    331.00x = 145,324.08
  5. Step 5: Solve for x
    x = 145,324.08/331.00
  6. Step 6: Final answer
    x = 439.05

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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.