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Finding the Fourth Proportional to 416.88, 624.96 and 185.56

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Solution

The fourth proportional to 416.88, 624.96 and 185.56 is: 278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.88 : 624.96 = 185.56 : x
  2. Step 2: Convert to fraction form
    416.88/624.96 = 185.56/x
  3. Step 3: Cross multiply
    416.88x = 624.96 × 185.56
  4. Step 4: Simplify right side
    416.88x = 115,967.58
  5. Step 5: Solve for x
    x = 115,967.58/416.88
  6. Step 6: Final answer
    x = 278.18

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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.