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Finding the Fourth Proportional to 632.41, 948.62 and 199.57

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Solution

The fourth proportional to 632.41, 948.62 and 199.57 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.41 : 948.62 = 199.57 : x
  2. Step 2: Convert to fraction form
    632.41/948.62 = 199.57/x
  3. Step 3: Cross multiply
    632.41x = 948.62 × 199.57
  4. Step 4: Simplify right side
    632.41x = 189,310.35
  5. Step 5: Solve for x
    x = 189,310.35/632.41
  6. Step 6: Final answer
    x = 299.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.