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Finding the Fourth Proportional to 437.46, 656.19 and 193.80

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Solution

The fourth proportional to 437.46, 656.19 and 193.80 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.46 : 656.19 = 193.80 : x
  2. Step 2: Convert to fraction form
    437.46/656.19 = 193.80/x
  3. Step 3: Cross multiply
    437.46x = 656.19 × 193.80
  4. Step 4: Simplify right side
    437.46x = 127,169.62
  5. Step 5: Solve for x
    x = 127,169.62/437.46
  6. Step 6: Final answer
    x = 290.70

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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.