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Finding the Fourth Proportional to 415.96, 574.33 and 333.52

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Solution

The fourth proportional to 415.96, 574.33 and 333.52 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 574.33 = 333.52 : x
  2. Step 2: Convert to fraction form
    415.96/574.33 = 333.52/x
  3. Step 3: Cross multiply
    415.96x = 574.33 × 333.52
  4. Step 4: Simplify right side
    415.96x = 191,550.54
  5. Step 5: Solve for x
    x = 191,550.54/415.96
  6. Step 6: Final answer
    x = 460.50

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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.