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Finding the Fourth Proportional to 293.14, 437.72 and 262.36

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Solution

The fourth proportional to 293.14, 437.72 and 262.36 is: 391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 437.72 = 262.36 : x
  2. Step 2: Convert to fraction form
    293.14/437.72 = 262.36/x
  3. Step 3: Cross multiply
    293.14x = 437.72 × 262.36
  4. Step 4: Simplify right side
    293.14x = 114,840.22
  5. Step 5: Solve for x
    x = 114,840.22/293.14
  6. Step 6: Final answer
    x = 391.76

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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.