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Finding the Fourth Proportional to 307.92, 459.36 and 269.04

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Solution

The fourth proportional to 307.92, 459.36 and 269.04 is: 401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 459.36 = 269.04 : x
  2. Step 2: Convert to fraction form
    307.92/459.36 = 269.04/x
  3. Step 3: Cross multiply
    307.92x = 459.36 × 269.04
  4. Step 4: Simplify right side
    307.92x = 123,586.21
  5. Step 5: Solve for x
    x = 123,586.21/307.92
  6. Step 6: Final answer
    x = 401.36

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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.