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Finding the Fourth Proportional to 414.90, 621.25 and 332.81

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Solution

The fourth proportional to 414.90, 621.25 and 332.81 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 621.25 = 332.81 : x
  2. Step 2: Convert to fraction form
    414.90/621.25 = 332.81/x
  3. Step 3: Cross multiply
    414.90x = 621.25 × 332.81
  4. Step 4: Simplify right side
    414.90x = 206,758.21
  5. Step 5: Solve for x
    x = 206,758.21/414.90
  6. Step 6: Final answer
    x = 498.33

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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.