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Finding the Fourth Proportional to 437.81, 604.09 and 260.82

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Solution

The fourth proportional to 437.81, 604.09 and 260.82 is: 359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 604.09 = 260.82 : x
  2. Step 2: Convert to fraction form
    437.81/604.09 = 260.82/x
  3. Step 3: Cross multiply
    437.81x = 604.09 × 260.82
  4. Step 4: Simplify right side
    437.81x = 157,559.08
  5. Step 5: Solve for x
    x = 157,559.08/437.81
  6. Step 6: Final answer
    x = 359.88

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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.