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Finding the Fourth Proportional to 405.89, 559.98 and 266.09

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Solution

The fourth proportional to 405.89, 559.98 and 266.09 is: 367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.89 : 559.98 = 266.09 : x
  2. Step 2: Convert to fraction form
    405.89/559.98 = 266.09/x
  3. Step 3: Cross multiply
    405.89x = 559.98 × 266.09
  4. Step 4: Simplify right side
    405.89x = 149,005.08
  5. Step 5: Solve for x
    x = 149,005.08/405.89
  6. Step 6: Final answer
    x = 367.11

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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.