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Finding the Fourth Proportional to 603.81, 833.01 and 367.70

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Solution

The fourth proportional to 603.81, 833.01 and 367.70 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.81 : 833.01 = 367.70 : x
  2. Step 2: Convert to fraction form
    603.81/833.01 = 367.70/x
  3. Step 3: Cross multiply
    603.81x = 833.01 × 367.70
  4. Step 4: Simplify right side
    603.81x = 306,293.61
  5. Step 5: Solve for x
    x = 306,293.61/603.81
  6. Step 6: Final answer
    x = 507.27

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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.