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Finding the Fourth Proportional to 451.76, 623.46 and 277.06

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Solution

The fourth proportional to 451.76, 623.46 and 277.06 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 623.46 = 277.06 : x
  2. Step 2: Convert to fraction form
    451.76/623.46 = 277.06/x
  3. Step 3: Cross multiply
    451.76x = 623.46 × 277.06
  4. Step 4: Simplify right side
    451.76x = 172,735.83
  5. Step 5: Solve for x
    x = 172,735.83/451.76
  6. Step 6: Final answer
    x = 382.36

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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.