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Finding the Fourth Proportional to 632.33, 948.46 and 193.57

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Solution

The fourth proportional to 632.33, 948.46 and 193.57 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.33 : 948.46 = 193.57 : x
  2. Step 2: Convert to fraction form
    632.33/948.46 = 193.57/x
  3. Step 3: Cross multiply
    632.33x = 948.46 × 193.57
  4. Step 4: Simplify right side
    632.33x = 183,593.40
  5. Step 5: Solve for x
    x = 183,593.40/632.33
  6. Step 6: Final answer
    x = 290.34

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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.