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Finding the Fourth Proportional to 633.38, 873.32 and 447.48

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Solution

The fourth proportional to 633.38, 873.32 and 447.48 is: 617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.38 : 873.32 = 447.48 : x
  2. Step 2: Convert to fraction form
    633.38/873.32 = 447.48/x
  3. Step 3: Cross multiply
    633.38x = 873.32 × 447.48
  4. Step 4: Simplify right side
    633.38x = 390,791.00
  5. Step 5: Solve for x
    x = 390,791.00/633.38
  6. Step 6: Final answer
    x = 617.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.