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Finding the Fourth Proportional to 538.54, 742.93 and 328.54

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Solution

The fourth proportional to 538.54, 742.93 and 328.54 is: 453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 742.93 = 328.54 : x
  2. Step 2: Convert to fraction form
    538.54/742.93 = 328.54/x
  3. Step 3: Cross multiply
    538.54x = 742.93 × 328.54
  4. Step 4: Simplify right side
    538.54x = 244,082.22
  5. Step 5: Solve for x
    x = 244,082.22/538.54
  6. Step 6: Final answer
    x = 453.23

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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.