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Finding the Fourth Proportional to 405.19, 559.26 and 230.63

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Solution

The fourth proportional to 405.19, 559.26 and 230.63 is: 318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 559.26 = 230.63 : x
  2. Step 2: Convert to fraction form
    405.19/559.26 = 230.63/x
  3. Step 3: Cross multiply
    405.19x = 559.26 × 230.63
  4. Step 4: Simplify right side
    405.19x = 128,983.53
  5. Step 5: Solve for x
    x = 128,983.53/405.19
  6. Step 6: Final answer
    x = 318.33

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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.