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Finding the Fourth Proportional to 456.15, 629.24 and 300.63

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Solution

The fourth proportional to 456.15, 629.24 and 300.63 is: 414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.15 : 629.24 = 300.63 : x
  2. Step 2: Convert to fraction form
    456.15/629.24 = 300.63/x
  3. Step 3: Cross multiply
    456.15x = 629.24 × 300.63
  4. Step 4: Simplify right side
    456.15x = 189,168.42
  5. Step 5: Solve for x
    x = 189,168.42/456.15
  6. Step 6: Final answer
    x = 414.71

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