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Finding the Fourth Proportional to 451.45, 616.54 and 446.59

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Solution

The fourth proportional to 451.45, 616.54 and 446.59 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.45 : 616.54 = 446.59 : x
  2. Step 2: Convert to fraction form
    451.45/616.54 = 446.59/x
  3. Step 3: Cross multiply
    451.45x = 616.54 × 446.59
  4. Step 4: Simplify right side
    451.45x = 275,340.60
  5. Step 5: Solve for x
    x = 275,340.60/451.45
  6. Step 6: Final answer
    x = 609.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.