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Finding the Fourth Proportional to 405.54, 559.85 and 295.85

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Solution

The fourth proportional to 405.54, 559.85 and 295.85 is: 408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.54 : 559.85 = 295.85 : x
  2. Step 2: Convert to fraction form
    405.54/559.85 = 295.85/x
  3. Step 3: Cross multiply
    405.54x = 559.85 × 295.85
  4. Step 4: Simplify right side
    405.54x = 165,631.54
  5. Step 5: Solve for x
    x = 165,631.54/405.54
  6. Step 6: Final answer
    x = 408.42

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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.