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Finding the Fourth Proportional to 282.24, 387.69 and 274.04

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Solution

The fourth proportional to 282.24, 387.69 and 274.04 is: 376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 387.69 = 274.04 : x
  2. Step 2: Convert to fraction form
    282.24/387.69 = 274.04/x
  3. Step 3: Cross multiply
    282.24x = 387.69 × 274.04
  4. Step 4: Simplify right side
    282.24x = 106,242.57
  5. Step 5: Solve for x
    x = 106,242.57/282.24
  6. Step 6: Final answer
    x = 376.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.