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Finding the Fourth Proportional to 405.67, 559.83 and 231.02

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Solution

The fourth proportional to 405.67, 559.83 and 231.02 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.67 : 559.83 = 231.02 : x
  2. Step 2: Convert to fraction form
    405.67/559.83 = 231.02/x
  3. Step 3: Cross multiply
    405.67x = 559.83 × 231.02
  4. Step 4: Simplify right side
    405.67x = 129,328.55
  5. Step 5: Solve for x
    x = 129,328.55/405.67
  6. Step 6: Final answer
    x = 318.80

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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.