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Finding the Fourth Proportional to 405.25, 559.25 and 230.61

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Solution

The fourth proportional to 405.25, 559.25 and 230.61 is: 318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 559.25 = 230.61 : x
  2. Step 2: Convert to fraction form
    405.25/559.25 = 230.61/x
  3. Step 3: Cross multiply
    405.25x = 559.25 × 230.61
  4. Step 4: Simplify right side
    405.25x = 128,968.64
  5. Step 5: Solve for x
    x = 128,968.64/405.25
  6. Step 6: Final answer
    x = 318.24

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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.