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Finding the Fourth Proportional to 287.23, 396.62 and 266.39

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Solution

The fourth proportional to 287.23, 396.62 and 266.39 is: 367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 396.62 = 266.39 : x
  2. Step 2: Convert to fraction form
    287.23/396.62 = 266.39/x
  3. Step 3: Cross multiply
    287.23x = 396.62 × 266.39
  4. Step 4: Simplify right side
    287.23x = 105,655.52
  5. Step 5: Solve for x
    x = 105,655.52/287.23
  6. Step 6: Final answer
    x = 367.84

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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.