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Finding the Fourth Proportional to 601.46, 902.36 and 381.83

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Solution

The fourth proportional to 601.46, 902.36 and 381.83 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 902.36 = 381.83 : x
  2. Step 2: Convert to fraction form
    601.46/902.36 = 381.83/x
  3. Step 3: Cross multiply
    601.46x = 902.36 × 381.83
  4. Step 4: Simplify right side
    601.46x = 344,551.33
  5. Step 5: Solve for x
    x = 344,551.33/601.46
  6. Step 6: Final answer
    x = 572.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.