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Finding the Fourth Proportional to 614.20, 847.97 and 393.53

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Solution

The fourth proportional to 614.20, 847.97 and 393.53 is: 543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.20 : 847.97 = 393.53 : x
  2. Step 2: Convert to fraction form
    614.20/847.97 = 393.53/x
  3. Step 3: Cross multiply
    614.20x = 847.97 × 393.53
  4. Step 4: Simplify right side
    614.20x = 333,696.90
  5. Step 5: Solve for x
    x = 333,696.90/614.20
  6. Step 6: Final answer
    x = 543.30

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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.