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Finding the Fourth Proportional to 601.93, 903.02 and 255.27

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Solution

The fourth proportional to 601.93, 903.02 and 255.27 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.93 : 903.02 = 255.27 : x
  2. Step 2: Convert to fraction form
    601.93/903.02 = 255.27/x
  3. Step 3: Cross multiply
    601.93x = 903.02 × 255.27
  4. Step 4: Simplify right side
    601.93x = 230,513.92
  5. Step 5: Solve for x
    x = 230,513.92/601.93
  6. Step 6: Final answer
    x = 382.96

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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.