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Finding the Fourth Proportional to 452.09, 677.63 and 178.04

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Solution

The fourth proportional to 452.09, 677.63 and 178.04 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 677.63 = 178.04 : x
  2. Step 2: Convert to fraction form
    452.09/677.63 = 178.04/x
  3. Step 3: Cross multiply
    452.09x = 677.63 × 178.04
  4. Step 4: Simplify right side
    452.09x = 120,644.36
  5. Step 5: Solve for x
    x = 120,644.36/452.09
  6. Step 6: Final answer
    x = 266.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.