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Finding the Fourth Proportional to 333.56, 499.72 and 299.76

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Solution

The fourth proportional to 333.56, 499.72 and 299.76 is: 449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.56 : 499.72 = 299.76 : x
  2. Step 2: Convert to fraction form
    333.56/499.72 = 299.76/x
  3. Step 3: Cross multiply
    333.56x = 499.72 × 299.76
  4. Step 4: Simplify right side
    333.56x = 149,796.07
  5. Step 5: Solve for x
    x = 149,796.07/333.56
  6. Step 6: Final answer
    x = 449.08

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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.