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Finding the Fourth Proportional to 632.86, 873.48 and 353.19

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Solution

The fourth proportional to 632.86, 873.48 and 353.19 is: 487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 873.48 = 353.19 : x
  2. Step 2: Convert to fraction form
    632.86/873.48 = 353.19/x
  3. Step 3: Cross multiply
    632.86x = 873.48 × 353.19
  4. Step 4: Simplify right side
    632.86x = 308,504.40
  5. Step 5: Solve for x
    x = 308,504.40/632.86
  6. Step 6: Final answer
    x = 487.48

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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.