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Finding the Fourth Proportional to 952.21, 1,428.41 and 258.92

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Solution

The fourth proportional to 952.21, 1,428.41 and 258.92 is: 388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.21 : 1,428.41 = 258.92 : x
  2. Step 2: Convert to fraction form
    952.21/1,428.41 = 258.92/x
  3. Step 3: Cross multiply
    952.21x = 1,428.41 × 258.92
  4. Step 4: Simplify right side
    952.21x = 369,843.92
  5. Step 5: Solve for x
    x = 369,843.92/952.21
  6. Step 6: Final answer
    x = 388.41

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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.