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Finding the Fourth Proportional to 601.78, 902.04 and 254.82

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Solution

The fourth proportional to 601.78, 902.04 and 254.82 is: 381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.78 : 902.04 = 254.82 : x
  2. Step 2: Convert to fraction form
    601.78/902.04 = 254.82/x
  3. Step 3: Cross multiply
    601.78x = 902.04 × 254.82
  4. Step 4: Simplify right side
    601.78x = 229,857.83
  5. Step 5: Solve for x
    x = 229,857.83/601.78
  6. Step 6: Final answer
    x = 381.96

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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.