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Finding the Fourth Proportional to 538.12, 742.14 and 380.44

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Solution

The fourth proportional to 538.12, 742.14 and 380.44 is: 524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 742.14 = 380.44 : x
  2. Step 2: Convert to fraction form
    538.12/742.14 = 380.44/x
  3. Step 3: Cross multiply
    538.12x = 742.14 × 380.44
  4. Step 4: Simplify right side
    538.12x = 282,339.74
  5. Step 5: Solve for x
    x = 282,339.74/538.12
  6. Step 6: Final answer
    x = 524.68

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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.