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Finding the Fourth Proportional to 300.94, 415.33 and 282.40

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Solution

The fourth proportional to 300.94, 415.33 and 282.40 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 415.33 = 282.40 : x
  2. Step 2: Convert to fraction form
    300.94/415.33 = 282.40/x
  3. Step 3: Cross multiply
    300.94x = 415.33 × 282.40
  4. Step 4: Simplify right side
    300.94x = 117,289.19
  5. Step 5: Solve for x
    x = 117,289.19/300.94
  6. Step 6: Final answer
    x = 389.74

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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.