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Finding the Fourth Proportional to 700.16, 965.92 and 493.44

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Solution

The fourth proportional to 700.16, 965.92 and 493.44 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.16 : 965.92 = 493.44 : x
  2. Step 2: Convert to fraction form
    700.16/965.92 = 493.44/x
  3. Step 3: Cross multiply
    700.16x = 965.92 × 493.44
  4. Step 4: Simplify right side
    700.16x = 476,623.56
  5. Step 5: Solve for x
    x = 476,623.56/700.16
  6. Step 6: Final answer
    x = 680.74

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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.