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Finding the Fourth Proportional to 400.46, 552.96 and 340.86

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Solution

The fourth proportional to 400.46, 552.96 and 340.86 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.46 : 552.96 = 340.86 : x
  2. Step 2: Convert to fraction form
    400.46/552.96 = 340.86/x
  3. Step 3: Cross multiply
    400.46x = 552.96 × 340.86
  4. Step 4: Simplify right side
    400.46x = 188,481.95
  5. Step 5: Solve for x
    x = 188,481.95/400.46
  6. Step 6: Final answer
    x = 470.66

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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.