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Finding the Fourth Proportional to 538.94, 743.79 and 314.96

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Solution

The fourth proportional to 538.94, 743.79 and 314.96 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 743.79 = 314.96 : x
  2. Step 2: Convert to fraction form
    538.94/743.79 = 314.96/x
  3. Step 3: Cross multiply
    538.94x = 743.79 × 314.96
  4. Step 4: Simplify right side
    538.94x = 234,260.38
  5. Step 5: Solve for x
    x = 234,260.38/538.94
  6. Step 6: Final answer
    x = 434.67

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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.