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Finding the Fourth Proportional to 414.42, 620.80 and 304.68

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Solution

The fourth proportional to 414.42, 620.80 and 304.68 is: 456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.42 : 620.80 = 304.68 : x
  2. Step 2: Convert to fraction form
    414.42/620.80 = 304.68/x
  3. Step 3: Cross multiply
    414.42x = 620.80 × 304.68
  4. Step 4: Simplify right side
    414.42x = 189,145.34
  5. Step 5: Solve for x
    x = 189,145.34/414.42
  6. Step 6: Final answer
    x = 456.41

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