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Finding the Fourth Proportional to 630.68, 945.38 and 399.74

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Solution

The fourth proportional to 630.68, 945.38 and 399.74 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 945.38 = 399.74 : x
  2. Step 2: Convert to fraction form
    630.68/945.38 = 399.74/x
  3. Step 3: Cross multiply
    630.68x = 945.38 × 399.74
  4. Step 4: Simplify right side
    630.68x = 377,901.84
  5. Step 5: Solve for x
    x = 377,901.84/630.68
  6. Step 6: Final answer
    x = 599.20

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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.