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Finding the Fourth Proportional to 446.70, 616.33 and 278.79

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Solution

The fourth proportional to 446.70, 616.33 and 278.79 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 616.33 = 278.79 : x
  2. Step 2: Convert to fraction form
    446.70/616.33 = 278.79/x
  3. Step 3: Cross multiply
    446.70x = 616.33 × 278.79
  4. Step 4: Simplify right side
    446.70x = 171,826.64
  5. Step 5: Solve for x
    x = 171,826.64/446.70
  6. Step 6: Final answer
    x = 384.66

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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.