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Finding the Fourth Proportional to 333.02, 459.24 and 222.38

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Solution

The fourth proportional to 333.02, 459.24 and 222.38 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.02 : 459.24 = 222.38 : x
  2. Step 2: Convert to fraction form
    333.02/459.24 = 222.38/x
  3. Step 3: Cross multiply
    333.02x = 459.24 × 222.38
  4. Step 4: Simplify right side
    333.02x = 102,125.79
  5. Step 5: Solve for x
    x = 102,125.79/333.02
  6. Step 6: Final answer
    x = 306.67

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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.