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Finding the Fourth Proportional to 408.48, 612.32 and 202.74

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Solution

The fourth proportional to 408.48, 612.32 and 202.74 is: 303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.48 : 612.32 = 202.74 : x
  2. Step 2: Convert to fraction form
    408.48/612.32 = 202.74/x
  3. Step 3: Cross multiply
    408.48x = 612.32 × 202.74
  4. Step 4: Simplify right side
    408.48x = 124,140.74
  5. Step 5: Solve for x
    x = 124,140.74/408.48
  6. Step 6: Final answer
    x = 303.91

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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.