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Finding the Fourth Proportional to 437.40, 656.42 and 194.11

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Solution

The fourth proportional to 437.40, 656.42 and 194.11 is: 291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 656.42 = 194.11 : x
  2. Step 2: Convert to fraction form
    437.40/656.42 = 194.11/x
  3. Step 3: Cross multiply
    437.40x = 656.42 × 194.11
  4. Step 4: Simplify right side
    437.40x = 127,415.07
  5. Step 5: Solve for x
    x = 127,415.07/437.40
  6. Step 6: Final answer
    x = 291.30

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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.