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Finding the Fourth Proportional to 866.72, 1,299.30 and 346.46

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Solution

The fourth proportional to 866.72, 1,299.30 and 346.46 is: 519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.72 : 1,299.30 = 346.46 : x
  2. Step 2: Convert to fraction form
    866.72/1,299.30 = 346.46/x
  3. Step 3: Cross multiply
    866.72x = 1,299.30 × 346.46
  4. Step 4: Simplify right side
    866.72x = 450,148.98
  5. Step 5: Solve for x
    x = 450,148.98/866.72
  6. Step 6: Final answer
    x = 519.37

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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.