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Finding the Fourth Proportional to 605.79, 908.54 and 280.84

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Solution

The fourth proportional to 605.79, 908.54 and 280.84 is: 421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.79 : 908.54 = 280.84 : x
  2. Step 2: Convert to fraction form
    605.79/908.54 = 280.84/x
  3. Step 3: Cross multiply
    605.79x = 908.54 × 280.84
  4. Step 4: Simplify right side
    605.79x = 255,154.37
  5. Step 5: Solve for x
    x = 255,154.37/605.79
  6. Step 6: Final answer
    x = 421.19

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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.