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Finding the Fourth Proportional to 293.44, 437.61 and 269.81

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Solution

The fourth proportional to 293.44, 437.61 and 269.81 is: 402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 437.61 = 269.81 : x
  2. Step 2: Convert to fraction form
    293.44/437.61 = 269.81/x
  3. Step 3: Cross multiply
    293.44x = 437.61 × 269.81
  4. Step 4: Simplify right side
    293.44x = 118,071.55
  5. Step 5: Solve for x
    x = 118,071.55/293.44
  6. Step 6: Final answer
    x = 402.37

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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.