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Finding the Fourth Proportional to 454.37, 626.98 and 277.42

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Solution

The fourth proportional to 454.37, 626.98 and 277.42 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.37 : 626.98 = 277.42 : x
  2. Step 2: Convert to fraction form
    454.37/626.98 = 277.42/x
  3. Step 3: Cross multiply
    454.37x = 626.98 × 277.42
  4. Step 4: Simplify right side
    454.37x = 173,934.09
  5. Step 5: Solve for x
    x = 173,934.09/454.37
  6. Step 6: Final answer
    x = 382.80

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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.