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Finding the Fourth Proportional to 400.15, 552.96 and 301.74

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Solution

The fourth proportional to 400.15, 552.96 and 301.74 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.15 : 552.96 = 301.74 : x
  2. Step 2: Convert to fraction form
    400.15/552.96 = 301.74/x
  3. Step 3: Cross multiply
    400.15x = 552.96 × 301.74
  4. Step 4: Simplify right side
    400.15x = 166,847.39
  5. Step 5: Solve for x
    x = 166,847.39/400.15
  6. Step 6: Final answer
    x = 416.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.