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Finding the Fourth Proportional to 437.80, 604.06 and 280.37

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Solution

The fourth proportional to 437.80, 604.06 and 280.37 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.80 : 604.06 = 280.37 : x
  2. Step 2: Convert to fraction form
    437.80/604.06 = 280.37/x
  3. Step 3: Cross multiply
    437.80x = 604.06 × 280.37
  4. Step 4: Simplify right side
    437.80x = 169,360.30
  5. Step 5: Solve for x
    x = 169,360.30/437.80
  6. Step 6: Final answer
    x = 386.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.