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Finding the Fourth Proportional to 538.23, 742.46 and 390.60

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Solution

The fourth proportional to 538.23, 742.46 and 390.60 is: 538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 742.46 = 390.60 : x
  2. Step 2: Convert to fraction form
    538.23/742.46 = 390.60/x
  3. Step 3: Cross multiply
    538.23x = 742.46 × 390.60
  4. Step 4: Simplify right side
    538.23x = 290,002.92
  5. Step 5: Solve for x
    x = 290,002.92/538.23
  6. Step 6: Final answer
    x = 538.81

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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.