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Finding the Fourth Proportional to 575.96, 794.75 and 323.86

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Solution

The fourth proportional to 575.96, 794.75 and 323.86 is: 446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.96 : 794.75 = 323.86 : x
  2. Step 2: Convert to fraction form
    575.96/794.75 = 323.86/x
  3. Step 3: Cross multiply
    575.96x = 794.75 × 323.86
  4. Step 4: Simplify right side
    575.96x = 257,385.95
  5. Step 5: Solve for x
    x = 257,385.95/575.96
  6. Step 6: Final answer
    x = 446.88

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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.