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Finding the Fourth Proportional to 704.34, 970.96 and 493.88

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Solution

The fourth proportional to 704.34, 970.96 and 493.88 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 970.96 = 493.88 : x
  2. Step 2: Convert to fraction form
    704.34/970.96 = 493.88/x
  3. Step 3: Cross multiply
    704.34x = 970.96 × 493.88
  4. Step 4: Simplify right side
    704.34x = 479,538.93
  5. Step 5: Solve for x
    x = 479,538.93/704.34
  6. Step 6: Final answer
    x = 680.83

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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.