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Finding the Fourth Proportional to 604.40, 833.10 and 596.30

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Solution

The fourth proportional to 604.40, 833.10 and 596.30 is: 821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 833.10 = 596.30 : x
  2. Step 2: Convert to fraction form
    604.40/833.10 = 596.30/x
  3. Step 3: Cross multiply
    604.40x = 833.10 × 596.30
  4. Step 4: Simplify right side
    604.40x = 496,777.53
  5. Step 5: Solve for x
    x = 496,777.53/604.40
  6. Step 6: Final answer
    x = 821.94

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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.