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Finding the Fourth Proportional to 452.01, 677.71 and 163.41

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Solution

The fourth proportional to 452.01, 677.71 and 163.41 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.01 : 677.71 = 163.41 : x
  2. Step 2: Convert to fraction form
    452.01/677.71 = 163.41/x
  3. Step 3: Cross multiply
    452.01x = 677.71 × 163.41
  4. Step 4: Simplify right side
    452.01x = 110,744.59
  5. Step 5: Solve for x
    x = 110,744.59/452.01
  6. Step 6: Final answer
    x = 245.00

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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.