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Finding the Fourth Proportional to 437.49, 656.34 and 206.37

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Solution

The fourth proportional to 437.49, 656.34 and 206.37 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.49 : 656.34 = 206.37 : x
  2. Step 2: Convert to fraction form
    437.49/656.34 = 206.37/x
  3. Step 3: Cross multiply
    437.49x = 656.34 × 206.37
  4. Step 4: Simplify right side
    437.49x = 135,448.89
  5. Step 5: Solve for x
    x = 135,448.89/437.49
  6. Step 6: Final answer
    x = 309.60

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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.