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Finding the Fourth Proportional to 280.08, 416.97 and 268.92

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Solution

The fourth proportional to 280.08, 416.97 and 268.92 is: 400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 416.97 = 268.92 : x
  2. Step 2: Convert to fraction form
    280.08/416.97 = 268.92/x
  3. Step 3: Cross multiply
    280.08x = 416.97 × 268.92
  4. Step 4: Simplify right side
    280.08x = 112,131.57
  5. Step 5: Solve for x
    x = 112,131.57/280.08
  6. Step 6: Final answer
    x = 400.36

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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.