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Finding the Fourth Proportional to 864.20, 1,295.46 and 344.05

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Solution

The fourth proportional to 864.20, 1,295.46 and 344.05 is: 515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.20 : 1,295.46 = 344.05 : x
  2. Step 2: Convert to fraction form
    864.20/1,295.46 = 344.05/x
  3. Step 3: Cross multiply
    864.20x = 1,295.46 × 344.05
  4. Step 4: Simplify right side
    864.20x = 445,699.77
  5. Step 5: Solve for x
    x = 445,699.77/864.20
  6. Step 6: Final answer
    x = 515.74

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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.