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Finding the Fourth Proportional to 405.26, 608.21 and 282.73

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Solution

The fourth proportional to 405.26, 608.21 and 282.73 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 608.21 = 282.73 : x
  2. Step 2: Convert to fraction form
    405.26/608.21 = 282.73/x
  3. Step 3: Cross multiply
    405.26x = 608.21 × 282.73
  4. Step 4: Simplify right side
    405.26x = 171,959.21
  5. Step 5: Solve for x
    x = 171,959.21/405.26
  6. Step 6: Final answer
    x = 424.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.