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Finding the Fourth Proportional to 632.11, 948.17 and 412.92

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Solution

The fourth proportional to 632.11, 948.17 and 412.92 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.11 : 948.17 = 412.92 : x
  2. Step 2: Convert to fraction form
    632.11/948.17 = 412.92/x
  3. Step 3: Cross multiply
    632.11x = 948.17 × 412.92
  4. Step 4: Simplify right side
    632.11x = 391,514.95
  5. Step 5: Solve for x
    x = 391,514.95/632.11
  6. Step 6: Final answer
    x = 619.38

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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.