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Finding the Fourth Proportional to 405.12, 559.17 and 230.52

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Solution

The fourth proportional to 405.12, 559.17 and 230.52 is: 318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 559.17 = 230.52 : x
  2. Step 2: Convert to fraction form
    405.12/559.17 = 230.52/x
  3. Step 3: Cross multiply
    405.12x = 559.17 × 230.52
  4. Step 4: Simplify right side
    405.12x = 128,899.87
  5. Step 5: Solve for x
    x = 128,899.87/405.12
  6. Step 6: Final answer
    x = 318.18

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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.