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Finding the Fourth Proportional to 576.86, 796.06 and 314.88

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Solution

The fourth proportional to 576.86, 796.06 and 314.88 is: 434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.86 : 796.06 = 314.88 : x
  2. Step 2: Convert to fraction form
    576.86/796.06 = 314.88/x
  3. Step 3: Cross multiply
    576.86x = 796.06 × 314.88
  4. Step 4: Simplify right side
    576.86x = 250,661.80
  5. Step 5: Solve for x
    x = 250,661.80/576.86
  6. Step 6: Final answer
    x = 434.53

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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.