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Finding the Fourth Proportional to 632.97, 873.45 and 353.25

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Solution

The fourth proportional to 632.97, 873.45 and 353.25 is: 487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.97 : 873.45 = 353.25 : x
  2. Step 2: Convert to fraction form
    632.97/873.45 = 353.25/x
  3. Step 3: Cross multiply
    632.97x = 873.45 × 353.25
  4. Step 4: Simplify right side
    632.97x = 308,546.21
  5. Step 5: Solve for x
    x = 308,546.21/632.97
  6. Step 6: Final answer
    x = 487.46

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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.