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Finding the Fourth Proportional to 469.62, 703.97 and 195.79

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Solution

The fourth proportional to 469.62, 703.97 and 195.79 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.62 : 703.97 = 195.79 : x
  2. Step 2: Convert to fraction form
    469.62/703.97 = 195.79/x
  3. Step 3: Cross multiply
    469.62x = 703.97 × 195.79
  4. Step 4: Simplify right side
    469.62x = 137,828.89
  5. Step 5: Solve for x
    x = 137,828.89/469.62
  6. Step 6: Final answer
    x = 293.49

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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.