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Finding the Fourth Proportional to 603.74, 833.10 and 338.20

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Solution

The fourth proportional to 603.74, 833.10 and 338.20 is: 466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.74 : 833.10 = 338.20 : x
  2. Step 2: Convert to fraction form
    603.74/833.10 = 338.20/x
  3. Step 3: Cross multiply
    603.74x = 833.10 × 338.20
  4. Step 4: Simplify right side
    603.74x = 281,754.42
  5. Step 5: Solve for x
    x = 281,754.42/603.74
  6. Step 6: Final answer
    x = 466.68

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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.