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Finding the Fourth Proportional to 393.87, 543.75 and 314.92

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Solution

The fourth proportional to 393.87, 543.75 and 314.92 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.87 : 543.75 = 314.92 : x
  2. Step 2: Convert to fraction form
    393.87/543.75 = 314.92/x
  3. Step 3: Cross multiply
    393.87x = 543.75 × 314.92
  4. Step 4: Simplify right side
    393.87x = 171,237.75
  5. Step 5: Solve for x
    x = 171,237.75/393.87
  6. Step 6: Final answer
    x = 434.76

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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.