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Finding the Fourth Proportional to 601.96, 902.33 and 255.08

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Solution

The fourth proportional to 601.96, 902.33 and 255.08 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.96 : 902.33 = 255.08 : x
  2. Step 2: Convert to fraction form
    601.96/902.33 = 255.08/x
  3. Step 3: Cross multiply
    601.96x = 902.33 × 255.08
  4. Step 4: Simplify right side
    601.96x = 230,166.34
  5. Step 5: Solve for x
    x = 230,166.34/601.96
  6. Step 6: Final answer
    x = 382.36

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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.