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Finding the Fourth Proportional to 294.44, 443.62 and 266.68

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Solution

The fourth proportional to 294.44, 443.62 and 266.68 is: 401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 443.62 = 266.68 : x
  2. Step 2: Convert to fraction form
    294.44/443.62 = 266.68/x
  3. Step 3: Cross multiply
    294.44x = 443.62 × 266.68
  4. Step 4: Simplify right side
    294.44x = 118,304.58
  5. Step 5: Solve for x
    x = 118,304.58/294.44
  6. Step 6: Final answer
    x = 401.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.