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Finding the Fourth Proportional to 416.54, 624.74 and 142.58

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Solution

The fourth proportional to 416.54, 624.74 and 142.58 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 624.74 = 142.58 : x
  2. Step 2: Convert to fraction form
    416.54/624.74 = 142.58/x
  3. Step 3: Cross multiply
    416.54x = 624.74 × 142.58
  4. Step 4: Simplify right side
    416.54x = 89,071.59
  5. Step 5: Solve for x
    x = 89,071.59/416.54
  6. Step 6: Final answer
    x = 213.84

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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.