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Finding the Fourth Proportional to 574.83, 793.26 and 312.84

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Solution

The fourth proportional to 574.83, 793.26 and 312.84 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 793.26 = 312.84 : x
  2. Step 2: Convert to fraction form
    574.83/793.26 = 312.84/x
  3. Step 3: Cross multiply
    574.83x = 793.26 × 312.84
  4. Step 4: Simplify right side
    574.83x = 248,163.46
  5. Step 5: Solve for x
    x = 248,163.46/574.83
  6. Step 6: Final answer
    x = 431.72

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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.