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Finding the Fourth Proportional to 446.98, 616.44 and 323.45

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Solution

The fourth proportional to 446.98, 616.44 and 323.45 is: 446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.98 : 616.44 = 323.45 : x
  2. Step 2: Convert to fraction form
    446.98/616.44 = 323.45/x
  3. Step 3: Cross multiply
    446.98x = 616.44 × 323.45
  4. Step 4: Simplify right side
    446.98x = 199,387.52
  5. Step 5: Solve for x
    x = 199,387.52/446.98
  6. Step 6: Final answer
    x = 446.08

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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.