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Finding the Fourth Proportional to 379.69, 568.56 and 345.07

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Solution

The fourth proportional to 379.69, 568.56 and 345.07 is: 516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 568.56 = 345.07 : x
  2. Step 2: Convert to fraction form
    379.69/568.56 = 345.07/x
  3. Step 3: Cross multiply
    379.69x = 568.56 × 345.07
  4. Step 4: Simplify right side
    379.69x = 196,193.00
  5. Step 5: Solve for x
    x = 196,193.00/379.69
  6. Step 6: Final answer
    x = 516.72

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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.