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Finding the Fourth Proportional to 630.45, 869.63 and 394.43

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Solution

The fourth proportional to 630.45, 869.63 and 394.43 is: 544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.45 : 869.63 = 394.43 : x
  2. Step 2: Convert to fraction form
    630.45/869.63 = 394.43/x
  3. Step 3: Cross multiply
    630.45x = 869.63 × 394.43
  4. Step 4: Simplify right side
    630.45x = 343,001.84
  5. Step 5: Solve for x
    x = 343,001.84/630.45
  6. Step 6: Final answer
    x = 544.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.