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Finding the Fourth Proportional to 446.20, 616.14 and 328.84

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Solution

The fourth proportional to 446.20, 616.14 and 328.84 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.20 : 616.14 = 328.84 : x
  2. Step 2: Convert to fraction form
    446.20/616.14 = 328.84/x
  3. Step 3: Cross multiply
    446.20x = 616.14 × 328.84
  4. Step 4: Simplify right side
    446.20x = 202,611.48
  5. Step 5: Solve for x
    x = 202,611.48/446.20
  6. Step 6: Final answer
    x = 454.08

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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.