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Finding the Fourth Proportional to 905.43, 1,358.22 and 256.17

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Solution

The fourth proportional to 905.43, 1,358.22 and 256.17 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.43 : 1,358.22 = 256.17 : x
  2. Step 2: Convert to fraction form
    905.43/1,358.22 = 256.17/x
  3. Step 3: Cross multiply
    905.43x = 1,358.22 × 256.17
  4. Step 4: Simplify right side
    905.43x = 347,935.22
  5. Step 5: Solve for x
    x = 347,935.22/905.43
  6. Step 6: Final answer
    x = 384.28

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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.