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Finding the Fourth Proportional to 451.07, 675.90 and 268.23

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Solution

The fourth proportional to 451.07, 675.90 and 268.23 is: 401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.07 : 675.90 = 268.23 : x
  2. Step 2: Convert to fraction form
    451.07/675.90 = 268.23/x
  3. Step 3: Cross multiply
    451.07x = 675.90 × 268.23
  4. Step 4: Simplify right side
    451.07x = 181,296.66
  5. Step 5: Solve for x
    x = 181,296.66/451.07
  6. Step 6: Final answer
    x = 401.93

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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.