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Finding the Fourth Proportional to 456.05, 629.11 and 298.94

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Solution

The fourth proportional to 456.05, 629.11 and 298.94 is: 412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 629.11 = 298.94 : x
  2. Step 2: Convert to fraction form
    456.05/629.11 = 298.94/x
  3. Step 3: Cross multiply
    456.05x = 629.11 × 298.94
  4. Step 4: Simplify right side
    456.05x = 188,066.91
  5. Step 5: Solve for x
    x = 188,066.91/456.05
  6. Step 6: Final answer
    x = 412.39

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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.