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Finding the Fourth Proportional to 437.03, 603.41 and 289.97

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Solution

The fourth proportional to 437.03, 603.41 and 289.97 is: 400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.03 : 603.41 = 289.97 : x
  2. Step 2: Convert to fraction form
    437.03/603.41 = 289.97/x
  3. Step 3: Cross multiply
    437.03x = 603.41 × 289.97
  4. Step 4: Simplify right side
    437.03x = 174,970.80
  5. Step 5: Solve for x
    x = 174,970.80/437.03
  6. Step 6: Final answer
    x = 400.36

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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.