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Finding the Fourth Proportional to 688.11, 949.49 and 439.64

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Solution

The fourth proportional to 688.11, 949.49 and 439.64 is: 606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.11 : 949.49 = 439.64 : x
  2. Step 2: Convert to fraction form
    688.11/949.49 = 439.64/x
  3. Step 3: Cross multiply
    688.11x = 949.49 × 439.64
  4. Step 4: Simplify right side
    688.11x = 417,426.84
  5. Step 5: Solve for x
    x = 417,426.84/688.11
  6. Step 6: Final answer
    x = 606.63

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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.