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Finding the Fourth Proportional to 293.44, 437.60 and 269.82

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Solution

The fourth proportional to 293.44, 437.60 and 269.82 is: 402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 437.60 = 269.82 : x
  2. Step 2: Convert to fraction form
    293.44/437.60 = 269.82/x
  3. Step 3: Cross multiply
    293.44x = 437.60 × 269.82
  4. Step 4: Simplify right side
    293.44x = 118,073.23
  5. Step 5: Solve for x
    x = 118,073.23/293.44
  6. Step 6: Final answer
    x = 402.38

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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.