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Finding the Fourth Proportional to 405.24, 559.44 and 287.32

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Solution

The fourth proportional to 405.24, 559.44 and 287.32 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 559.44 = 287.32 : x
  2. Step 2: Convert to fraction form
    405.24/559.44 = 287.32/x
  3. Step 3: Cross multiply
    405.24x = 559.44 × 287.32
  4. Step 4: Simplify right side
    405.24x = 160,738.30
  5. Step 5: Solve for x
    x = 160,738.30/405.24
  6. Step 6: Final answer
    x = 396.65

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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.