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Finding the Fourth Proportional to 629.62, 869.01 and 422.50

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Solution

The fourth proportional to 629.62, 869.01 and 422.50 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 869.01 = 422.50 : x
  2. Step 2: Convert to fraction form
    629.62/869.01 = 422.50/x
  3. Step 3: Cross multiply
    629.62x = 869.01 × 422.50
  4. Step 4: Simplify right side
    629.62x = 367,156.73
  5. Step 5: Solve for x
    x = 367,156.73/629.62
  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.