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Finding the Fourth Proportional to 418.94, 628.37 and 282.86

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Solution

The fourth proportional to 418.94, 628.37 and 282.86 is: 424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 628.37 = 282.86 : x
  2. Step 2: Convert to fraction form
    418.94/628.37 = 282.86/x
  3. Step 3: Cross multiply
    418.94x = 628.37 × 282.86
  4. Step 4: Simplify right side
    418.94x = 177,739.60
  5. Step 5: Solve for x
    x = 177,739.60/418.94
  6. Step 6: Final answer
    x = 424.26

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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.