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Finding the Fourth Proportional to 469.94, 704.57 and 195.80

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Solution

The fourth proportional to 469.94, 704.57 and 195.80 is: 293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 704.57 = 195.80 : x
  2. Step 2: Convert to fraction form
    469.94/704.57 = 195.80/x
  3. Step 3: Cross multiply
    469.94x = 704.57 × 195.80
  4. Step 4: Simplify right side
    469.94x = 137,950.30
  5. Step 5: Solve for x
    x = 137,950.30/469.94
  6. Step 6: Final answer
    x = 293.55

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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.