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Finding the Fourth Proportional to 704.39, 971.88 and 471.56

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Solution

The fourth proportional to 704.39, 971.88 and 471.56 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.39 : 971.88 = 471.56 : x
  2. Step 2: Convert to fraction form
    704.39/971.88 = 471.56/x
  3. Step 3: Cross multiply
    704.39x = 971.88 × 471.56
  4. Step 4: Simplify right side
    704.39x = 458,299.73
  5. Step 5: Solve for x
    x = 458,299.73/704.39
  6. Step 6: Final answer
    x = 650.63

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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.