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Finding the Fourth Proportional to 414.48, 621.36 and 306.12

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Solution

The fourth proportional to 414.48, 621.36 and 306.12 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 621.36 = 306.12 : x
  2. Step 2: Convert to fraction form
    414.48/621.36 = 306.12/x
  3. Step 3: Cross multiply
    414.48x = 621.36 × 306.12
  4. Step 4: Simplify right side
    414.48x = 190,210.72
  5. Step 5: Solve for x
    x = 190,210.72/414.48
  6. Step 6: Final answer
    x = 458.91

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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.