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Finding the Fourth Proportional to 931.44, 1,396.71 and 282.03

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Solution

The fourth proportional to 931.44, 1,396.71 and 282.03 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.44 : 1,396.71 = 282.03 : x
  2. Step 2: Convert to fraction form
    931.44/1,396.71 = 282.03/x
  3. Step 3: Cross multiply
    931.44x = 1,396.71 × 282.03
  4. Step 4: Simplify right side
    931.44x = 393,914.12
  5. Step 5: Solve for x
    x = 393,914.12/931.44
  6. Step 6: Final answer
    x = 422.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.