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Finding the Fourth Proportional to 604.93, 907.94 and 280.48

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Solution

The fourth proportional to 604.93, 907.94 and 280.48 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.93 : 907.94 = 280.48 : x
  2. Step 2: Convert to fraction form
    604.93/907.94 = 280.48/x
  3. Step 3: Cross multiply
    604.93x = 907.94 × 280.48
  4. Step 4: Simplify right side
    604.93x = 254,659.01
  5. Step 5: Solve for x
    x = 254,659.01/604.93
  6. Step 6: Final answer
    x = 420.97

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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.