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Finding the Fourth Proportional to 538.22, 742.83 and 328.52

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Solution

The fourth proportional to 538.22, 742.83 and 328.52 is: 453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 742.83 = 328.52 : x
  2. Step 2: Convert to fraction form
    538.22/742.83 = 328.52/x
  3. Step 3: Cross multiply
    538.22x = 742.83 × 328.52
  4. Step 4: Simplify right side
    538.22x = 244,032.04
  5. Step 5: Solve for x
    x = 244,032.04/538.22
  6. Step 6: Final answer
    x = 453.41

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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.