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Finding the Fourth Proportional to 629.70, 945.06 and 337.20

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Solution

The fourth proportional to 629.70, 945.06 and 337.20 is: 506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.70 : 945.06 = 337.20 : x
  2. Step 2: Convert to fraction form
    629.70/945.06 = 337.20/x
  3. Step 3: Cross multiply
    629.70x = 945.06 × 337.20
  4. Step 4: Simplify right side
    629.70x = 318,674.23
  5. Step 5: Solve for x
    x = 318,674.23/629.70
  6. Step 6: Final answer
    x = 506.07

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