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Finding the Fourth Proportional to 408.53, 612.31 and 235.28

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Solution

The fourth proportional to 408.53, 612.31 and 235.28 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 612.31 = 235.28 : x
  2. Step 2: Convert to fraction form
    408.53/612.31 = 235.28/x
  3. Step 3: Cross multiply
    408.53x = 612.31 × 235.28
  4. Step 4: Simplify right side
    408.53x = 144,062.94
  5. Step 5: Solve for x
    x = 144,062.94/408.53
  6. Step 6: Final answer
    x = 352.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.