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Finding the Fourth Proportional to 415.05, 573.38 and 322.03

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Solution

The fourth proportional to 415.05, 573.38 and 322.03 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 573.38 = 322.03 : x
  2. Step 2: Convert to fraction form
    415.05/573.38 = 322.03/x
  3. Step 3: Cross multiply
    415.05x = 573.38 × 322.03
  4. Step 4: Simplify right side
    415.05x = 184,645.56
  5. Step 5: Solve for x
    x = 184,645.56/415.05
  6. Step 6: Final answer
    x = 444.88

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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.