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Finding the Fourth Proportional to 437.23, 603.30 and 262.54

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Solution

The fourth proportional to 437.23, 603.30 and 262.54 is: 362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.23 : 603.30 = 262.54 : x
  2. Step 2: Convert to fraction form
    437.23/603.30 = 262.54/x
  3. Step 3: Cross multiply
    437.23x = 603.30 × 262.54
  4. Step 4: Simplify right side
    437.23x = 158,390.38
  5. Step 5: Solve for x
    x = 158,390.38/437.23
  6. Step 6: Final answer
    x = 362.26

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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.