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Finding the Fourth Proportional to 538.55, 742.67 and 391.23

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Solution

The fourth proportional to 538.55, 742.67 and 391.23 is: 539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 742.67 = 391.23 : x
  2. Step 2: Convert to fraction form
    538.55/742.67 = 391.23/x
  3. Step 3: Cross multiply
    538.55x = 742.67 × 391.23
  4. Step 4: Simplify right side
    538.55x = 290,554.30
  5. Step 5: Solve for x
    x = 290,554.30/538.55
  6. Step 6: Final answer
    x = 539.51

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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.