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Finding the Fourth Proportional to 437.90, 656.81 and 113.27

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Solution

The fourth proportional to 437.90, 656.81 and 113.27 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 656.81 = 113.27 : x
  2. Step 2: Convert to fraction form
    437.90/656.81 = 113.27/x
  3. Step 3: Cross multiply
    437.90x = 656.81 × 113.27
  4. Step 4: Simplify right side
    437.90x = 74,393.02
  5. Step 5: Solve for x
    x = 74,393.02/437.90
  6. Step 6: Final answer
    x = 169.89

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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.