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Finding the Fourth Proportional to 400.80, 601.38 and 256.80

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Solution

The fourth proportional to 400.80, 601.38 and 256.80 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.80 : 601.38 = 256.80 : x
  2. Step 2: Convert to fraction form
    400.80/601.38 = 256.80/x
  3. Step 3: Cross multiply
    400.80x = 601.38 × 256.80
  4. Step 4: Simplify right side
    400.80x = 154,434.38
  5. Step 5: Solve for x
    x = 154,434.38/400.80
  6. Step 6: Final answer
    x = 385.32

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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.