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Finding the Fourth Proportional to 454.12, 626.78 and 277.14

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Solution

The fourth proportional to 454.12, 626.78 and 277.14 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.12 : 626.78 = 277.14 : x
  2. Step 2: Convert to fraction form
    454.12/626.78 = 277.14/x
  3. Step 3: Cross multiply
    454.12x = 626.78 × 277.14
  4. Step 4: Simplify right side
    454.12x = 173,706.50
  5. Step 5: Solve for x
    x = 173,706.50/454.12
  6. Step 6: Final answer
    x = 382.51

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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.