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Finding the Fourth Proportional to 538.68, 743.49 and 314.76

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Solution

The fourth proportional to 538.68, 743.49 and 314.76 is: 434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 743.49 = 314.76 : x
  2. Step 2: Convert to fraction form
    538.68/743.49 = 314.76/x
  3. Step 3: Cross multiply
    538.68x = 743.49 × 314.76
  4. Step 4: Simplify right side
    538.68x = 234,023.70
  5. Step 5: Solve for x
    x = 234,023.70/538.68
  6. Step 6: Final answer
    x = 434.44

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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.