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Finding the Fourth Proportional to 446.76, 616.68 and 281.25

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Solution

The fourth proportional to 446.76, 616.68 and 281.25 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 616.68 = 281.25 : x
  2. Step 2: Convert to fraction form
    446.76/616.68 = 281.25/x
  3. Step 3: Cross multiply
    446.76x = 616.68 × 281.25
  4. Step 4: Simplify right side
    446.76x = 173,441.25
  5. Step 5: Solve for x
    x = 173,441.25/446.76
  6. Step 6: Final answer
    x = 388.22

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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.