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Finding the Fourth Proportional to 452.89, 678.93 and 179.18

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Solution

The fourth proportional to 452.89, 678.93 and 179.18 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.89 : 678.93 = 179.18 : x
  2. Step 2: Convert to fraction form
    452.89/678.93 = 179.18/x
  3. Step 3: Cross multiply
    452.89x = 678.93 × 179.18
  4. Step 4: Simplify right side
    452.89x = 121,650.68
  5. Step 5: Solve for x
    x = 121,650.68/452.89
  6. Step 6: Final answer
    x = 268.61

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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.