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Finding the Fourth Proportional to 400.70, 600.08 and 272.06

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Solution

The fourth proportional to 400.70, 600.08 and 272.06 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.70 : 600.08 = 272.06 : x
  2. Step 2: Convert to fraction form
    400.70/600.08 = 272.06/x
  3. Step 3: Cross multiply
    400.70x = 600.08 × 272.06
  4. Step 4: Simplify right side
    400.70x = 163,257.76
  5. Step 5: Solve for x
    x = 163,257.76/400.70
  6. Step 6: Final answer
    x = 407.43

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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.