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Finding the Fourth Proportional to 401.89, 603.84 and 255.70

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Solution

The fourth proportional to 401.89, 603.84 and 255.70 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.89 : 603.84 = 255.70 : x
  2. Step 2: Convert to fraction form
    401.89/603.84 = 255.70/x
  3. Step 3: Cross multiply
    401.89x = 603.84 × 255.70
  4. Step 4: Simplify right side
    401.89x = 154,405.30
  5. Step 5: Solve for x
    x = 154,405.30/401.89
  6. Step 6: Final answer
    x = 384.20

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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.