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Finding the Fourth Proportional to 711.93, 982.41 and 463.73

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Solution

The fourth proportional to 711.93, 982.41 and 463.73 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.93 : 982.41 = 463.73 : x
  2. Step 2: Convert to fraction form
    711.93/982.41 = 463.73/x
  3. Step 3: Cross multiply
    711.93x = 982.41 × 463.73
  4. Step 4: Simplify right side
    711.93x = 455,568.08
  5. Step 5: Solve for x
    x = 455,568.08/711.93
  6. Step 6: Final answer
    x = 639.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.