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Finding the Fourth Proportional to 419.22, 628.46 and 256.84

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Solution

The fourth proportional to 419.22, 628.46 and 256.84 is: 385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 628.46 = 256.84 : x
  2. Step 2: Convert to fraction form
    419.22/628.46 = 256.84/x
  3. Step 3: Cross multiply
    419.22x = 628.46 × 256.84
  4. Step 4: Simplify right side
    419.22x = 161,413.67
  5. Step 5: Solve for x
    x = 161,413.67/419.22
  6. Step 6: Final answer
    x = 385.03

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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.