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Finding the Fourth Proportional to 405.52, 559.46 and 230.84

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Solution

The fourth proportional to 405.52, 559.46 and 230.84 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 559.46 = 230.84 : x
  2. Step 2: Convert to fraction form
    405.52/559.46 = 230.84/x
  3. Step 3: Cross multiply
    405.52x = 559.46 × 230.84
  4. Step 4: Simplify right side
    405.52x = 129,145.75
  5. Step 5: Solve for x
    x = 129,145.75/405.52
  6. Step 6: Final answer
    x = 318.47

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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.