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Finding the Fourth Proportional to 711.89, 982.44 and 463.42

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Solution

The fourth proportional to 711.89, 982.44 and 463.42 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.89 : 982.44 = 463.42 : x
  2. Step 2: Convert to fraction form
    711.89/982.44 = 463.42/x
  3. Step 3: Cross multiply
    711.89x = 982.44 × 463.42
  4. Step 4: Simplify right side
    711.89x = 455,282.34
  5. Step 5: Solve for x
    x = 455,282.34/711.89
  6. Step 6: Final answer
    x = 639.54

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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.