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Finding the Fourth Proportional to 688.14, 949.66 and 492.12

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Solution

The fourth proportional to 688.14, 949.66 and 492.12 is: 679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 949.66 = 492.12 : x
  2. Step 2: Convert to fraction form
    688.14/949.66 = 492.12/x
  3. Step 3: Cross multiply
    688.14x = 949.66 × 492.12
  4. Step 4: Simplify right side
    688.14x = 467,346.68
  5. Step 5: Solve for x
    x = 467,346.68/688.14
  6. Step 6: Final answer
    x = 679.14

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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.