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Finding the Fourth Proportional to 469.34, 704.32 and 195.43

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Solution

The fourth proportional to 469.34, 704.32 and 195.43 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 704.32 = 195.43 : x
  2. Step 2: Convert to fraction form
    469.34/704.32 = 195.43/x
  3. Step 3: Cross multiply
    469.34x = 704.32 × 195.43
  4. Step 4: Simplify right side
    469.34x = 137,645.26
  5. Step 5: Solve for x
    x = 137,645.26/469.34
  6. Step 6: Final answer
    x = 293.27

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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.