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Finding the Fourth Proportional to 629.96, 949.52 and 594.68

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Solution

The fourth proportional to 629.96, 949.52 and 594.68 is: 896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.96 : 949.52 = 594.68 : x
  2. Step 2: Convert to fraction form
    629.96/949.52 = 594.68/x
  3. Step 3: Cross multiply
    629.96x = 949.52 × 594.68
  4. Step 4: Simplify right side
    629.96x = 564,660.55
  5. Step 5: Solve for x
    x = 564,660.55/629.96
  6. Step 6: Final answer
    x = 896.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.