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Finding the Fourth Proportional to 452.09, 677.12 and 441.84

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Solution

The fourth proportional to 452.09, 677.12 and 441.84 is: 661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 677.12 = 441.84 : x
  2. Step 2: Convert to fraction form
    452.09/677.12 = 441.84/x
  3. Step 3: Cross multiply
    452.09x = 677.12 × 441.84
  4. Step 4: Simplify right side
    452.09x = 299,178.39
  5. Step 5: Solve for x
    x = 299,178.39/452.09
  6. Step 6: Final answer
    x = 661.76

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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.