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Finding the Fourth Proportional to 401.62, 601.93 and 255.37

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Solution

The fourth proportional to 401.62, 601.93 and 255.37 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.62 : 601.93 = 255.37 : x
  2. Step 2: Convert to fraction form
    401.62/601.93 = 255.37/x
  3. Step 3: Cross multiply
    401.62x = 601.93 × 255.37
  4. Step 4: Simplify right side
    401.62x = 153,714.86
  5. Step 5: Solve for x
    x = 153,714.86/401.62
  6. Step 6: Final answer
    x = 382.74

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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.