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Finding the Fourth Proportional to 446.56, 616.53 and 322.14

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Solution

The fourth proportional to 446.56, 616.53 and 322.14 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 616.53 = 322.14 : x
  2. Step 2: Convert to fraction form
    446.56/616.53 = 322.14/x
  3. Step 3: Cross multiply
    446.56x = 616.53 × 322.14
  4. Step 4: Simplify right side
    446.56x = 198,608.97
  5. Step 5: Solve for x
    x = 198,608.97/446.56
  6. Step 6: Final answer
    x = 444.75

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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.