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Finding the Fourth Proportional to 607.96, 839.22 and 411.56

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Solution

The fourth proportional to 607.96, 839.22 and 411.56 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.96 : 839.22 = 411.56 : x
  2. Step 2: Convert to fraction form
    607.96/839.22 = 411.56/x
  3. Step 3: Cross multiply
    607.96x = 839.22 × 411.56
  4. Step 4: Simplify right side
    607.96x = 345,389.38
  5. Step 5: Solve for x
    x = 345,389.38/607.96
  6. Step 6: Final answer
    x = 568.11

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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.