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Finding the Fourth Proportional to 603.14, 838.24 and 596.66

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Solution

The fourth proportional to 603.14, 838.24 and 596.66 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 838.24 = 596.66 : x
  2. Step 2: Convert to fraction form
    603.14/838.24 = 596.66/x
  3. Step 3: Cross multiply
    603.14x = 838.24 × 596.66
  4. Step 4: Simplify right side
    603.14x = 500,141.30
  5. Step 5: Solve for x
    x = 500,141.30/603.14
  6. Step 6: Final answer
    x = 829.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.