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Finding the Fourth Proportional to 632.03, 945.81 and 546.37

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Solution

The fourth proportional to 632.03, 945.81 and 546.37 is: 817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.03 : 945.81 = 546.37 : x
  2. Step 2: Convert to fraction form
    632.03/945.81 = 546.37/x
  3. Step 3: Cross multiply
    632.03x = 945.81 × 546.37
  4. Step 4: Simplify right side
    632.03x = 516,759.85
  5. Step 5: Solve for x
    x = 516,759.85/632.03
  6. Step 6: Final answer
    x = 817.63

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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.