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Finding the Fourth Proportional to 669.75, 1,004.19 and 280.01

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Solution

The fourth proportional to 669.75, 1,004.19 and 280.01 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.75 : 1,004.19 = 280.01 : x
  2. Step 2: Convert to fraction form
    669.75/1,004.19 = 280.01/x
  3. Step 3: Cross multiply
    669.75x = 1,004.19 × 280.01
  4. Step 4: Simplify right side
    669.75x = 281,185.75
  5. Step 5: Solve for x
    x = 281,185.75/669.75
  6. Step 6: Final answer
    x = 419.84

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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.