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Finding the Fourth Proportional to 400.35, 552.51 and 301.95

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Solution

The fourth proportional to 400.35, 552.51 and 301.95 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 552.51 = 301.95 : x
  2. Step 2: Convert to fraction form
    400.35/552.51 = 301.95/x
  3. Step 3: Cross multiply
    400.35x = 552.51 × 301.95
  4. Step 4: Simplify right side
    400.35x = 166,830.39
  5. Step 5: Solve for x
    x = 166,830.39/400.35
  6. Step 6: Final answer
    x = 416.71

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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.