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Finding the Fourth Proportional to 455, 628.02 and 299.96

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Solution

The fourth proportional to 455, 628.02 and 299.96 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    455 : 628.02 = 299.96 : x
  2. Step 2: Convert to fraction form
    455/628.02 = 299.96/x
  3. Step 3: Cross multiply
    455x = 628.02 × 299.96
  4. Step 4: Simplify right side
    455x = 188,380.88
  5. Step 5: Solve for x
    x = 188,380.88/455
  6. Step 6: Final answer
    x = 414.02

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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.