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Finding the Fourth Proportional to 437.82, 604.02 and 282.66

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Solution

The fourth proportional to 437.82, 604.02 and 282.66 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.82 : 604.02 = 282.66 : x
  2. Step 2: Convert to fraction form
    437.82/604.02 = 282.66/x
  3. Step 3: Cross multiply
    437.82x = 604.02 × 282.66
  4. Step 4: Simplify right side
    437.82x = 170,732.29
  5. Step 5: Solve for x
    x = 170,732.29/437.82
  6. Step 6: Final answer
    x = 389.96

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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.