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Finding the Fourth Proportional to 688.96, 952 and 493.12

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Solution

The fourth proportional to 688.96, 952 and 493.12 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.96 : 952 = 493.12 : x
  2. Step 2: Convert to fraction form
    688.96/952 = 493.12/x
  3. Step 3: Cross multiply
    688.96x = 952 × 493.12
  4. Step 4: Simplify right side
    688.96x = 469,450.24
  5. Step 5: Solve for x
    x = 469,450.24/688.96
  6. Step 6: Final answer
    x = 681.39

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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.