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Finding the Fourth Proportional to 601.17, 900.97 and 272.09

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Solution

The fourth proportional to 601.17, 900.97 and 272.09 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.17 : 900.97 = 272.09 : x
  2. Step 2: Convert to fraction form
    601.17/900.97 = 272.09/x
  3. Step 3: Cross multiply
    601.17x = 900.97 × 272.09
  4. Step 4: Simplify right side
    601.17x = 245,148.03
  5. Step 5: Solve for x
    x = 245,148.03/601.17
  6. Step 6: Final answer
    x = 407.78

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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.