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Finding the Fourth Proportional to 408.94, 565.81 and 356.59

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Solution

The fourth proportional to 408.94, 565.81 and 356.59 is: 493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 565.81 = 356.59 : x
  2. Step 2: Convert to fraction form
    408.94/565.81 = 356.59/x
  3. Step 3: Cross multiply
    408.94x = 565.81 × 356.59
  4. Step 4: Simplify right side
    408.94x = 201,764.01
  5. Step 5: Solve for x
    x = 201,764.01/408.94
  6. Step 6: Final answer
    x = 493.39

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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.