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Finding the Fourth Proportional to 293.07, 437.34 and 262.43

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Solution

The fourth proportional to 293.07, 437.34 and 262.43 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 437.34 = 262.43 : x
  2. Step 2: Convert to fraction form
    293.07/437.34 = 262.43/x
  3. Step 3: Cross multiply
    293.07x = 437.34 × 262.43
  4. Step 4: Simplify right side
    293.07x = 114,771.14
  5. Step 5: Solve for x
    x = 114,771.14/293.07
  6. Step 6: Final answer
    x = 391.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.