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Finding the Fourth Proportional to 575.85, 794.70 and 327.24

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Solution

The fourth proportional to 575.85, 794.70 and 327.24 is: 451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.85 : 794.70 = 327.24 : x
  2. Step 2: Convert to fraction form
    575.85/794.70 = 327.24/x
  3. Step 3: Cross multiply
    575.85x = 794.70 × 327.24
  4. Step 4: Simplify right side
    575.85x = 260,057.63
  5. Step 5: Solve for x
    x = 260,057.63/575.85
  6. Step 6: Final answer
    x = 451.61

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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.