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Finding the Fourth Proportional to 576.84, 796.05 and 344.10

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Solution

The fourth proportional to 576.84, 796.05 and 344.10 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 796.05 = 344.10 : x
  2. Step 2: Convert to fraction form
    576.84/796.05 = 344.10/x
  3. Step 3: Cross multiply
    576.84x = 796.05 × 344.10
  4. Step 4: Simplify right side
    576.84x = 273,920.81
  5. Step 5: Solve for x
    x = 273,920.81/576.84
  6. Step 6: Final answer
    x = 474.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.