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Finding the Fourth Proportional to 446.89, 616.74 and 281.24

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Solution

The fourth proportional to 446.89, 616.74 and 281.24 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.89 : 616.74 = 281.24 : x
  2. Step 2: Convert to fraction form
    446.89/616.74 = 281.24/x
  3. Step 3: Cross multiply
    446.89x = 616.74 × 281.24
  4. Step 4: Simplify right side
    446.89x = 173,452.26
  5. Step 5: Solve for x
    x = 173,452.26/446.89
  6. Step 6: Final answer
    x = 388.13

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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.