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Finding the Fourth Proportional to 576.85, 796.04 and 314.86

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Solution

The fourth proportional to 576.85, 796.04 and 314.86 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.85 : 796.04 = 314.86 : x
  2. Step 2: Convert to fraction form
    576.85/796.04 = 314.86/x
  3. Step 3: Cross multiply
    576.85x = 796.04 × 314.86
  4. Step 4: Simplify right side
    576.85x = 250,639.95
  5. Step 5: Solve for x
    x = 250,639.95/576.85
  6. Step 6: Final answer
    x = 434.50

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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.