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Finding the Fourth Proportional to 603.68, 833.03 and 338.12

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Solution

The fourth proportional to 603.68, 833.03 and 338.12 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.68 : 833.03 = 338.12 : x
  2. Step 2: Convert to fraction form
    603.68/833.03 = 338.12/x
  3. Step 3: Cross multiply
    603.68x = 833.03 × 338.12
  4. Step 4: Simplify right side
    603.68x = 281,658.25
  5. Step 5: Solve for x
    x = 281,658.25/603.68
  6. Step 6: Final answer
    x = 466.57

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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.