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Finding the Fourth Proportional to 608.32, 839.04 and 411.84

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Solution

The fourth proportional to 608.32, 839.04 and 411.84 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.32 : 839.04 = 411.84 : x
  2. Step 2: Convert to fraction form
    608.32/839.04 = 411.84/x
  3. Step 3: Cross multiply
    608.32x = 839.04 × 411.84
  4. Step 4: Simplify right side
    608.32x = 345,550.23
  5. Step 5: Solve for x
    x = 345,550.23/608.32
  6. Step 6: Final answer
    x = 568.04

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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.