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Finding the Fourth Proportional to 291.92, 437.81 and 269.37

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Solution

The fourth proportional to 291.92, 437.81 and 269.37 is: 403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.92 : 437.81 = 269.37 : x
  2. Step 2: Convert to fraction form
    291.92/437.81 = 269.37/x
  3. Step 3: Cross multiply
    291.92x = 437.81 × 269.37
  4. Step 4: Simplify right side
    291.92x = 117,931.53
  5. Step 5: Solve for x
    x = 117,931.53/291.92
  6. Step 6: Final answer
    x = 403.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.