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Finding the Fourth Proportional to 614.55, 919.67 and 422.31

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Solution

The fourth proportional to 614.55, 919.67 and 422.31 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.55 : 919.67 = 422.31 : x
  2. Step 2: Convert to fraction form
    614.55/919.67 = 422.31/x
  3. Step 3: Cross multiply
    614.55x = 919.67 × 422.31
  4. Step 4: Simplify right side
    614.55x = 388,383.73
  5. Step 5: Solve for x
    x = 388,383.73/614.55
  6. Step 6: Final answer
    x = 631.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.