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Finding the Fourth Proportional to 321.01, 442.74 and 294.86

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Solution

The fourth proportional to 321.01, 442.74 and 294.86 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.01 : 442.74 = 294.86 : x
  2. Step 2: Convert to fraction form
    321.01/442.74 = 294.86/x
  3. Step 3: Cross multiply
    321.01x = 442.74 × 294.86
  4. Step 4: Simplify right side
    321.01x = 130,546.32
  5. Step 5: Solve for x
    x = 130,546.32/321.01
  6. Step 6: Final answer
    x = 406.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.