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Finding the Fourth Proportional to 629.41, 943.60 and 493.06

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Solution

The fourth proportional to 629.41, 943.60 and 493.06 is: 739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.41 : 943.60 = 493.06 : x
  2. Step 2: Convert to fraction form
    629.41/943.60 = 493.06/x
  3. Step 3: Cross multiply
    629.41x = 943.60 × 493.06
  4. Step 4: Simplify right side
    629.41x = 465,253.17
  5. Step 5: Solve for x
    x = 465,253.17/629.41
  6. Step 6: Final answer
    x = 739.19

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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.