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Finding the Fourth Proportional to 451.62, 623.31 and 277.06

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Solution

The fourth proportional to 451.62, 623.31 and 277.06 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 623.31 = 277.06 : x
  2. Step 2: Convert to fraction form
    451.62/623.31 = 277.06/x
  3. Step 3: Cross multiply
    451.62x = 623.31 × 277.06
  4. Step 4: Simplify right side
    451.62x = 172,694.27
  5. Step 5: Solve for x
    x = 172,694.27/451.62
  6. Step 6: Final answer
    x = 382.39

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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.