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Finding the Fourth Proportional to 414.48, 620.76 and 318.84

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Solution

The fourth proportional to 414.48, 620.76 and 318.84 is: 477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 620.76 = 318.84 : x
  2. Step 2: Convert to fraction form
    414.48/620.76 = 318.84/x
  3. Step 3: Cross multiply
    414.48x = 620.76 × 318.84
  4. Step 4: Simplify right side
    414.48x = 197,923.12
  5. Step 5: Solve for x
    x = 197,923.12/414.48
  6. Step 6: Final answer
    x = 477.52

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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.