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Finding the Fourth Proportional to 632.45, 872.78 and 352.68

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Solution

The fourth proportional to 632.45, 872.78 and 352.68 is: 486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 872.78 = 352.68 : x
  2. Step 2: Convert to fraction form
    632.45/872.78 = 352.68/x
  3. Step 3: Cross multiply
    632.45x = 872.78 × 352.68
  4. Step 4: Simplify right side
    632.45x = 307,805.92
  5. Step 5: Solve for x
    x = 307,805.92/632.45
  6. Step 6: Final answer
    x = 486.69

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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.