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Finding the Fourth Proportional to 845.33, 1,267.95 and 268.21

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Solution

The fourth proportional to 845.33, 1,267.95 and 268.21 is: 402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.33 : 1,267.95 = 268.21 : x
  2. Step 2: Convert to fraction form
    845.33/1,267.95 = 268.21/x
  3. Step 3: Cross multiply
    845.33x = 1,267.95 × 268.21
  4. Step 4: Simplify right side
    845.33x = 340,069.19
  5. Step 5: Solve for x
    x = 340,069.19/845.33
  6. Step 6: Final answer
    x = 402.29

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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.