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Finding the Fourth Proportional to 288.34, 397.02 and 262.42

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Solution

The fourth proportional to 288.34, 397.02 and 262.42 is: 361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.34 : 397.02 = 262.42 : x
  2. Step 2: Convert to fraction form
    288.34/397.02 = 262.42/x
  3. Step 3: Cross multiply
    288.34x = 397.02 × 262.42
  4. Step 4: Simplify right side
    288.34x = 104,185.99
  5. Step 5: Solve for x
    x = 104,185.99/288.34
  6. Step 6: Final answer
    x = 361.33

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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.