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Finding the Fourth Proportional to 630.60, 945.92 and 399.68

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Solution

The fourth proportional to 630.60, 945.92 and 399.68 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.60 : 945.92 = 399.68 : x
  2. Step 2: Convert to fraction form
    630.60/945.92 = 399.68/x
  3. Step 3: Cross multiply
    630.60x = 945.92 × 399.68
  4. Step 4: Simplify right side
    630.60x = 378,065.31
  5. Step 5: Solve for x
    x = 378,065.31/630.60
  6. Step 6: Final answer
    x = 599.53

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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.