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Finding the Fourth Proportional to 279.84, 418.08 and 274.44

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Solution

The fourth proportional to 279.84, 418.08 and 274.44 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 418.08 = 274.44 : x
  2. Step 2: Convert to fraction form
    279.84/418.08 = 274.44/x
  3. Step 3: Cross multiply
    279.84x = 418.08 × 274.44
  4. Step 4: Simplify right side
    279.84x = 114,737.88
  5. Step 5: Solve for x
    x = 114,737.88/279.84
  6. Step 6: Final answer
    x = 410.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.