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Finding the Fourth Proportional to 484.41, 725.83 and 466.43

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Solution

The fourth proportional to 484.41, 725.83 and 466.43 is: 698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.41 : 725.83 = 466.43 : x
  2. Step 2: Convert to fraction form
    484.41/725.83 = 466.43/x
  3. Step 3: Cross multiply
    484.41x = 725.83 × 466.43
  4. Step 4: Simplify right side
    484.41x = 338,549.54
  5. Step 5: Solve for x
    x = 338,549.54/484.41
  6. Step 6: Final answer
    x = 698.89

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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.