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Finding the Fourth Proportional to 405.59, 559.67 and 230.90

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Solution

The fourth proportional to 405.59, 559.67 and 230.90 is: 318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.59 : 559.67 = 230.90 : x
  2. Step 2: Convert to fraction form
    405.59/559.67 = 230.90/x
  3. Step 3: Cross multiply
    405.59x = 559.67 × 230.90
  4. Step 4: Simplify right side
    405.59x = 129,223.85
  5. Step 5: Solve for x
    x = 129,223.85/405.59
  6. Step 6: Final answer
    x = 318.61

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