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Finding the Fourth Proportional to 414.54, 622.53 and 397.13

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Solution

The fourth proportional to 414.54, 622.53 and 397.13 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 622.53 = 397.13 : x
  2. Step 2: Convert to fraction form
    414.54/622.53 = 397.13/x
  3. Step 3: Cross multiply
    414.54x = 622.53 × 397.13
  4. Step 4: Simplify right side
    414.54x = 247,222.23
  5. Step 5: Solve for x
    x = 247,222.23/414.54
  6. Step 6: Final answer
    x = 596.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.