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Finding the Fourth Proportional to 574.69, 793.07 and 312.71

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Solution

The fourth proportional to 574.69, 793.07 and 312.71 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.69 : 793.07 = 312.71 : x
  2. Step 2: Convert to fraction form
    574.69/793.07 = 312.71/x
  3. Step 3: Cross multiply
    574.69x = 793.07 × 312.71
  4. Step 4: Simplify right side
    574.69x = 248,003.68
  5. Step 5: Solve for x
    x = 248,003.68/574.69
  6. Step 6: Final answer
    x = 431.55

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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.