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Finding the Fourth Proportional to 406.26, 560.67 and 282.33

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Solution

The fourth proportional to 406.26, 560.67 and 282.33 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.26 : 560.67 = 282.33 : x
  2. Step 2: Convert to fraction form
    406.26/560.67 = 282.33/x
  3. Step 3: Cross multiply
    406.26x = 560.67 × 282.33
  4. Step 4: Simplify right side
    406.26x = 158,293.96
  5. Step 5: Solve for x
    x = 158,293.96/406.26
  6. Step 6: Final answer
    x = 389.64

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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.