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Finding the Fourth Proportional to 406.89, 560.99 and 266.79

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Solution

The fourth proportional to 406.89, 560.99 and 266.79 is: 367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.89 : 560.99 = 266.79 : x
  2. Step 2: Convert to fraction form
    406.89/560.99 = 266.79/x
  3. Step 3: Cross multiply
    406.89x = 560.99 × 266.79
  4. Step 4: Simplify right side
    406.89x = 149,665.19
  5. Step 5: Solve for x
    x = 149,665.19/406.89
  6. Step 6: Final answer
    x = 367.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.