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Finding the Fourth Proportional to 633.36, 947.96 and 343.44

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Solution

The fourth proportional to 633.36, 947.96 and 343.44 is: 514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 947.96 = 343.44 : x
  2. Step 2: Convert to fraction form
    633.36/947.96 = 343.44/x
  3. Step 3: Cross multiply
    633.36x = 947.96 × 343.44
  4. Step 4: Simplify right side
    633.36x = 325,567.38
  5. Step 5: Solve for x
    x = 325,567.38/633.36
  6. Step 6: Final answer
    x = 514.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.