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Finding the Fourth Proportional to 400.45, 600.70 and 126.58

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Solution

The fourth proportional to 400.45, 600.70 and 126.58 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.45 : 600.70 = 126.58 : x
  2. Step 2: Convert to fraction form
    400.45/600.70 = 126.58/x
  3. Step 3: Cross multiply
    400.45x = 600.70 × 126.58
  4. Step 4: Simplify right side
    400.45x = 76,036.61
  5. Step 5: Solve for x
    x = 76,036.61/400.45
  6. Step 6: Final answer
    x = 189.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.