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Finding the Fourth Proportional to 632.44, 948.56 and 285.68

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Solution

The fourth proportional to 632.44, 948.56 and 285.68 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.44 : 948.56 = 285.68 : x
  2. Step 2: Convert to fraction form
    632.44/948.56 = 285.68/x
  3. Step 3: Cross multiply
    632.44x = 948.56 × 285.68
  4. Step 4: Simplify right side
    632.44x = 270,984.62
  5. Step 5: Solve for x
    x = 270,984.62/632.44
  6. Step 6: Final answer
    x = 428.47

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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.