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Finding the Fourth Proportional to 437.91, 604.20 and 288.48

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Solution

The fourth proportional to 437.91, 604.20 and 288.48 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.91 : 604.20 = 288.48 : x
  2. Step 2: Convert to fraction form
    437.91/604.20 = 288.48/x
  3. Step 3: Cross multiply
    437.91x = 604.20 × 288.48
  4. Step 4: Simplify right side
    437.91x = 174,299.62
  5. Step 5: Solve for x
    x = 174,299.62/437.91
  6. Step 6: Final answer
    x = 398.03

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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.