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Finding the Fourth Proportional to 484.49, 722.67 and 440.75

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Solution

The fourth proportional to 484.49, 722.67 and 440.75 is: 657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.49 : 722.67 = 440.75 : x
  2. Step 2: Convert to fraction form
    484.49/722.67 = 440.75/x
  3. Step 3: Cross multiply
    484.49x = 722.67 × 440.75
  4. Step 4: Simplify right side
    484.49x = 318,516.80
  5. Step 5: Solve for x
    x = 318,516.80/484.49
  6. Step 6: Final answer
    x = 657.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.