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Finding the Fourth Proportional to 688.19, 949.46 and 422.55

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Solution

The fourth proportional to 688.19, 949.46 and 422.55 is: 582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.19 : 949.46 = 422.55 : x
  2. Step 2: Convert to fraction form
    688.19/949.46 = 422.55/x
  3. Step 3: Cross multiply
    688.19x = 949.46 × 422.55
  4. Step 4: Simplify right side
    688.19x = 401,192.21
  5. Step 5: Solve for x
    x = 401,192.21/688.19
  6. Step 6: Final answer
    x = 582.97

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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.