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Finding the Fourth Proportional to 483.84, 667.74 and 274.02

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Solution

The fourth proportional to 483.84, 667.74 and 274.02 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 667.74 = 274.02 : x
  2. Step 2: Convert to fraction form
    483.84/667.74 = 274.02/x
  3. Step 3: Cross multiply
    483.84x = 667.74 × 274.02
  4. Step 4: Simplify right side
    483.84x = 182,974.11
  5. Step 5: Solve for x
    x = 182,974.11/483.84
  6. Step 6: Final answer
    x = 378.17

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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.