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Finding the Fourth Proportional to 405.22, 559.14 and 230.54

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Solution

The fourth proportional to 405.22, 559.14 and 230.54 is: 318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 559.14 = 230.54 : x
  2. Step 2: Convert to fraction form
    405.22/559.14 = 230.54/x
  3. Step 3: Cross multiply
    405.22x = 559.14 × 230.54
  4. Step 4: Simplify right side
    405.22x = 128,904.14
  5. Step 5: Solve for x
    x = 128,904.14/405.22
  6. Step 6: Final answer
    x = 318.11

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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.