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Finding the Fourth Proportional to 605.58, 908.46 and 280.98

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Solution

The fourth proportional to 605.58, 908.46 and 280.98 is: 421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.58 : 908.46 = 280.98 : x
  2. Step 2: Convert to fraction form
    605.58/908.46 = 280.98/x
  3. Step 3: Cross multiply
    605.58x = 908.46 × 280.98
  4. Step 4: Simplify right side
    605.58x = 255,259.09
  5. Step 5: Solve for x
    x = 255,259.09/605.58
  6. Step 6: Final answer
    x = 421.51

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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.