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Finding the Fourth Proportional to 629.30, 942.43 and 320.34

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Solution

The fourth proportional to 629.30, 942.43 and 320.34 is: 479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.30 : 942.43 = 320.34 : x
  2. Step 2: Convert to fraction form
    629.30/942.43 = 320.34/x
  3. Step 3: Cross multiply
    629.30x = 942.43 × 320.34
  4. Step 4: Simplify right side
    629.30x = 301,898.03
  5. Step 5: Solve for x
    x = 301,898.03/629.30
  6. Step 6: Final answer
    x = 479.74

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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.