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Finding the Fourth Proportional to 484.35, 725.46 and 446.41

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Solution

The fourth proportional to 484.35, 725.46 and 446.41 is: 668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.35 : 725.46 = 446.41 : x
  2. Step 2: Convert to fraction form
    484.35/725.46 = 446.41/x
  3. Step 3: Cross multiply
    484.35x = 725.46 × 446.41
  4. Step 4: Simplify right side
    484.35x = 323,851.83
  5. Step 5: Solve for x
    x = 323,851.83/484.35
  6. Step 6: Final answer
    x = 668.64

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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.