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Finding the Fourth Proportional to 492.80, 680.32 and 409.60

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Solution

The fourth proportional to 492.80, 680.32 and 409.60 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 680.32 = 409.60 : x
  2. Step 2: Convert to fraction form
    492.80/680.32 = 409.60/x
  3. Step 3: Cross multiply
    492.80x = 680.32 × 409.60
  4. Step 4: Simplify right side
    492.80x = 278,659.07
  5. Step 5: Solve for x
    x = 278,659.07/492.80
  6. Step 6: Final answer
    x = 565.46

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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.