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Finding the Fourth Proportional to 601.02, 901.71 and 254.51

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Solution

The fourth proportional to 601.02, 901.71 and 254.51 is: 381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.02 : 901.71 = 254.51 : x
  2. Step 2: Convert to fraction form
    601.02/901.71 = 254.51/x
  3. Step 3: Cross multiply
    601.02x = 901.71 × 254.51
  4. Step 4: Simplify right side
    601.02x = 229,489.70
  5. Step 5: Solve for x
    x = 229,489.70/601.02
  6. Step 6: Final answer
    x = 381.83

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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.