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Finding the Fourth Proportional to 601.67, 903.01 and 273.10

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Solution

The fourth proportional to 601.67, 903.01 and 273.10 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.67 : 903.01 = 273.10 : x
  2. Step 2: Convert to fraction form
    601.67/903.01 = 273.10/x
  3. Step 3: Cross multiply
    601.67x = 903.01 × 273.10
  4. Step 4: Simplify right side
    601.67x = 246,609.09
  5. Step 5: Solve for x
    x = 246,609.09/601.67
  6. Step 6: Final answer
    x = 409.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.