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Finding the Fourth Proportional to 262.30, 361.24 and 256.64

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Solution

The fourth proportional to 262.30, 361.24 and 256.64 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.30 : 361.24 = 256.64 : x
  2. Step 2: Convert to fraction form
    262.30/361.24 = 256.64/x
  3. Step 3: Cross multiply
    262.30x = 361.24 × 256.64
  4. Step 4: Simplify right side
    262.30x = 92,708.63
  5. Step 5: Solve for x
    x = 92,708.63/262.30
  6. Step 6: Final answer
    x = 353.45

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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.