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Finding the Fourth Proportional to 349.79, 524.29 and 195.79

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Solution

The fourth proportional to 349.79, 524.29 and 195.79 is: 293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 524.29 = 195.79 : x
  2. Step 2: Convert to fraction form
    349.79/524.29 = 195.79/x
  3. Step 3: Cross multiply
    349.79x = 524.29 × 195.79
  4. Step 4: Simplify right side
    349.79x = 102,648.94
  5. Step 5: Solve for x
    x = 102,648.94/349.79
  6. Step 6: Final answer
    x = 293.46

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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.