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Finding the Fourth Proportional to 451.69, 623.09 and 274.57

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Solution

The fourth proportional to 451.69, 623.09 and 274.57 is: 378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.69 : 623.09 = 274.57 : x
  2. Step 2: Convert to fraction form
    451.69/623.09 = 274.57/x
  3. Step 3: Cross multiply
    451.69x = 623.09 × 274.57
  4. Step 4: Simplify right side
    451.69x = 171,080.95
  5. Step 5: Solve for x
    x = 171,080.95/451.69
  6. Step 6: Final answer
    x = 378.76

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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.