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Finding the Fourth Proportional to 688.37, 949.68 and 422.69

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Solution

The fourth proportional to 688.37, 949.68 and 422.69 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.37 : 949.68 = 422.69 : x
  2. Step 2: Convert to fraction form
    688.37/949.68 = 422.69/x
  3. Step 3: Cross multiply
    688.37x = 949.68 × 422.69
  4. Step 4: Simplify right side
    688.37x = 401,415.49
  5. Step 5: Solve for x
    x = 401,415.49/688.37
  6. Step 6: Final answer
    x = 583.14

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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.