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Finding the Fourth Proportional to 633.42, 949.96 and 243.14

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Solution

The fourth proportional to 633.42, 949.96 and 243.14 is: 364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 949.96 = 243.14 : x
  2. Step 2: Convert to fraction form
    633.42/949.96 = 243.14/x
  3. Step 3: Cross multiply
    633.42x = 949.96 × 243.14
  4. Step 4: Simplify right side
    633.42x = 230,968.83
  5. Step 5: Solve for x
    x = 230,968.83/633.42
  6. Step 6: Final answer
    x = 364.64

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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.