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Finding the Fourth Proportional to 437.63, 603.92 and 262.98

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Solution

The fourth proportional to 437.63, 603.92 and 262.98 is: 362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.63 : 603.92 = 262.98 : x
  2. Step 2: Convert to fraction form
    437.63/603.92 = 262.98/x
  3. Step 3: Cross multiply
    437.63x = 603.92 × 262.98
  4. Step 4: Simplify right side
    437.63x = 158,819.54
  5. Step 5: Solve for x
    x = 158,819.54/437.63
  6. Step 6: Final answer
    x = 362.91

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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.