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Finding the Fourth Proportional to 601.34, 902.00 and 272.15

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Solution

The fourth proportional to 601.34, 902.00 and 272.15 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 902.00 = 272.15 : x
  2. Step 2: Convert to fraction form
    601.34/902.00 = 272.15/x
  3. Step 3: Cross multiply
    601.34x = 902.00 × 272.15
  4. Step 4: Simplify right side
    601.34x = 245,473.43
  5. Step 5: Solve for x
    x = 245,473.43/601.34
  6. Step 6: Final answer
    x = 408.21

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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.