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Finding the Fourth Proportional to 633.38, 948.83 and 324.32

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Solution

The fourth proportional to 633.38, 948.83 and 324.32 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.38 : 948.83 = 324.32 : x
  2. Step 2: Convert to fraction form
    633.38/948.83 = 324.32/x
  3. Step 3: Cross multiply
    633.38x = 948.83 × 324.32
  4. Step 4: Simplify right side
    633.38x = 307,718.18
  5. Step 5: Solve for x
    x = 307,718.18/633.38
  6. Step 6: Final answer
    x = 485.84

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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.