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Finding the Fourth Proportional to 416.34, 623.61 and 254.16

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Solution

The fourth proportional to 416.34, 623.61 and 254.16 is: 380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 623.61 = 254.16 : x
  2. Step 2: Convert to fraction form
    416.34/623.61 = 254.16/x
  3. Step 3: Cross multiply
    416.34x = 623.61 × 254.16
  4. Step 4: Simplify right side
    416.34x = 158,496.72
  5. Step 5: Solve for x
    x = 158,496.72/416.34
  6. Step 6: Final answer
    x = 380.69

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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.