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Finding the Fourth Proportional to 633.24, 873.89 and 353.50

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Solution

The fourth proportional to 633.24, 873.89 and 353.50 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.24 : 873.89 = 353.50 : x
  2. Step 2: Convert to fraction form
    633.24/873.89 = 353.50/x
  3. Step 3: Cross multiply
    633.24x = 873.89 × 353.50
  4. Step 4: Simplify right side
    633.24x = 308,920.12
  5. Step 5: Solve for x
    x = 308,920.12/633.24
  6. Step 6: Final answer
    x = 487.84

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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.