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Finding the Fourth Proportional to 408.51, 608.94 and 385.02

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Solution

The fourth proportional to 408.51, 608.94 and 385.02 is: 573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 608.94 = 385.02 : x
  2. Step 2: Convert to fraction form
    408.51/608.94 = 385.02/x
  3. Step 3: Cross multiply
    408.51x = 608.94 × 385.02
  4. Step 4: Simplify right side
    408.51x = 234,454.08
  5. Step 5: Solve for x
    x = 234,454.08/408.51
  6. Step 6: Final answer
    x = 573.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.