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Finding the Fourth Proportional to 446.70, 616.44 and 328.68

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Solution

The fourth proportional to 446.70, 616.44 and 328.68 is: 453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 616.44 = 328.68 : x
  2. Step 2: Convert to fraction form
    446.70/616.44 = 328.68/x
  3. Step 3: Cross multiply
    446.70x = 616.44 × 328.68
  4. Step 4: Simplify right side
    446.70x = 202,611.50
  5. Step 5: Solve for x
    x = 202,611.50/446.70
  6. Step 6: Final answer
    x = 453.57

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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.