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Finding the Fourth Proportional to 712.33, 982.03 and 476.29

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Solution

The fourth proportional to 712.33, 982.03 and 476.29 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.33 : 982.03 = 476.29 : x
  2. Step 2: Convert to fraction form
    712.33/982.03 = 476.29/x
  3. Step 3: Cross multiply
    712.33x = 982.03 × 476.29
  4. Step 4: Simplify right side
    712.33x = 467,731.07
  5. Step 5: Solve for x
    x = 467,731.07/712.33
  6. Step 6: Final answer
    x = 656.62

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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.