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Finding the Fourth Proportional to 452.80, 625.14 and 305.56

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Solution

The fourth proportional to 452.80, 625.14 and 305.56 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.80 : 625.14 = 305.56 : x
  2. Step 2: Convert to fraction form
    452.80/625.14 = 305.56/x
  3. Step 3: Cross multiply
    452.80x = 625.14 × 305.56
  4. Step 4: Simplify right side
    452.80x = 191,017.78
  5. Step 5: Solve for x
    x = 191,017.78/452.80
  6. Step 6: Final answer
    x = 421.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.