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Finding the Fourth Proportional to 496.64, 684 and 409.28

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Solution

The fourth proportional to 496.64, 684 and 409.28 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.64 : 684 = 409.28 : x
  2. Step 2: Convert to fraction form
    496.64/684 = 409.28/x
  3. Step 3: Cross multiply
    496.64x = 684 × 409.28
  4. Step 4: Simplify right side
    496.64x = 279,947.52
  5. Step 5: Solve for x
    x = 279,947.52/496.64
  6. Step 6: Final answer
    x = 563.68

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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.