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Finding the Fourth Proportional to 496.80, 682.40 and 409.28

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Solution

The fourth proportional to 496.80, 682.40 and 409.28 is: 562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.80 : 682.40 = 409.28 : x
  2. Step 2: Convert to fraction form
    496.80/682.40 = 409.28/x
  3. Step 3: Cross multiply
    496.80x = 682.40 × 409.28
  4. Step 4: Simplify right side
    496.80x = 279,292.67
  5. Step 5: Solve for x
    x = 279,292.67/496.80
  6. Step 6: Final answer
    x = 562.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.