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Finding the Fourth Proportional to 406.57, 560.73 and 282.43

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Solution

The fourth proportional to 406.57, 560.73 and 282.43 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.57 : 560.73 = 282.43 : x
  2. Step 2: Convert to fraction form
    406.57/560.73 = 282.43/x
  3. Step 3: Cross multiply
    406.57x = 560.73 × 282.43
  4. Step 4: Simplify right side
    406.57x = 158,366.97
  5. Step 5: Solve for x
    x = 158,366.97/406.57
  6. Step 6: Final answer
    x = 389.52

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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.