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Finding the Fourth Proportional to 538.90, 744.34 and 391.30

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Solution

The fourth proportional to 538.90, 744.34 and 391.30 is: 540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.90 : 744.34 = 391.30 : x
  2. Step 2: Convert to fraction form
    538.90/744.34 = 391.30/x
  3. Step 3: Cross multiply
    538.90x = 744.34 × 391.30
  4. Step 4: Simplify right side
    538.90x = 291,260.24
  5. Step 5: Solve for x
    x = 291,260.24/538.90
  6. Step 6: Final answer
    x = 540.47

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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.