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Finding the Fourth Proportional to 400.36, 600.12 and 256.12

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Solution

The fourth proportional to 400.36, 600.12 and 256.12 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 600.12 = 256.12 : x
  2. Step 2: Convert to fraction form
    400.36/600.12 = 256.12/x
  3. Step 3: Cross multiply
    400.36x = 600.12 × 256.12
  4. Step 4: Simplify right side
    400.36x = 153,702.73
  5. Step 5: Solve for x
    x = 153,702.73/400.36
  6. Step 6: Final answer
    x = 383.91

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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.