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Finding the Fourth Proportional to 437.83, 656.85 and 194.29

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Solution

The fourth proportional to 437.83, 656.85 and 194.29 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.83 : 656.85 = 194.29 : x
  2. Step 2: Convert to fraction form
    437.83/656.85 = 194.29/x
  3. Step 3: Cross multiply
    437.83x = 656.85 × 194.29
  4. Step 4: Simplify right side
    437.83x = 127,619.39
  5. Step 5: Solve for x
    x = 127,619.39/437.83
  6. Step 6: Final answer
    x = 291.48

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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.