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Finding the Fourth Proportional to 446.41, 616.11 and 280.77

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Solution

The fourth proportional to 446.41, 616.11 and 280.77 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.41 : 616.11 = 280.77 : x
  2. Step 2: Convert to fraction form
    446.41/616.11 = 280.77/x
  3. Step 3: Cross multiply
    446.41x = 616.11 × 280.77
  4. Step 4: Simplify right side
    446.41x = 172,981.84
  5. Step 5: Solve for x
    x = 172,981.84/446.41
  6. Step 6: Final answer
    x = 387.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.